Initial commit
This commit is contained in:
Sebastian Rust
671
lib/abdoalias.sty
Normal file
671
lib/abdoalias.sty
Normal file
@@ -0,0 +1,671 @@
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\NeedsTeXFormat{LaTeX2e}
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\ProvidesPackage{abdoalias}
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%% Package Loading
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%% ====================================================
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\RequirePackage{iftex} % do conditionals on tex engine
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\RequirePackage{suffix} % define starred commands
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\RequirePackage{amsmath} % AMS stuff
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\RequirePackage{amsfonts} % AMS fonts
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\RequirePackage{amssymb} % AMS symbols
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\RequirePackage{slashed} % Feynman slashes.
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% \RequirePackage{tensor} % Typeset tensor indices.
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% \RequirePackage{young} % Draw Young tableaux.
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\RequirePackage{stmaryrd} % Extra math symbols (like double square bracket)
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%% Font change shortcuts
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%% ====================================================
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% Shortcuts to blackboard bold.
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%-----------------------------
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\newcommand*{\bbA}{\mathbb{A}}
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\newcommand*{\bbB}{\mathbb{B}}
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\newcommand*{\bbC}{\mathbb{C}}
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\newcommand*{\bbD}{\mathbb{D}}
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\newcommand*{\bbE}{\mathbb{E}}
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\newcommand*{\bbF}{\mathbb{F}}
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\newcommand*{\bbG}{\mathbb{G}}
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\newcommand*{\bbH}{\mathbb{H}}
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\newcommand*{\bbI}{\mathbb{I}}
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\newcommand*{\bbJ}{\mathbb{J}}
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\newcommand*{\bbK}{\mathbb{K}}
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\newcommand*{\bbL}{\mathbb{L}}
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\newcommand*{\bbM}{\mathbb{M}}
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\newcommand*{\bbN}{\mathbb{N}}
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\newcommand*{\bbO}{\mathbb{O}}
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\newcommand*{\bbP}{\mathbb{P}}
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\newcommand*{\bbQ}{\mathbb{Q}}
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\newcommand*{\bbR}{\mathbb{R}}
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\newcommand*{\bbS}{\mathbb{S}}
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\newcommand*{\bbT}{\mathbb{T}}
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\newcommand*{\bbU}{\mathbb{U}}
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\newcommand*{\bbV}{\mathbb{V}}
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\newcommand*{\bbW}{\mathbb{W}}
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\newcommand*{\bbX}{\mathbb{X}}
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\newcommand*{\bbY}{\mathbb{Y}}
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\newcommand*{\bbZ}{\mathbb{Z}}
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% Shortcuts to script fonts
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%-----------------------------
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\newcommand*{\scA}{\mathscr{A}}
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\newcommand*{\scB}{\mathscr{B}}
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\newcommand*{\scC}{\mathscr{C}}
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\newcommand*{\scD}{\mathscr{D}}
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\newcommand*{\scE}{\mathscr{E}}
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\newcommand*{\scF}{\mathscr{F}}
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\newcommand*{\scG}{\mathscr{G}}
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\newcommand*{\scH}{\mathscr{H}}
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\newcommand*{\scI}{\mathscr{I}}
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\newcommand*{\scJ}{\mathscr{J}}
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\newcommand*{\scK}{\mathscr{K}}
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\newcommand*{\scL}{\mathscr{L}}
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\newcommand*{\scM}{\mathscr{M}}
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\newcommand*{\scN}{\mathscr{N}}
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\newcommand*{\scO}{\mathscr{O}}
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\newcommand*{\scP}{\mathscr{P}}
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\newcommand*{\scQ}{\mathscr{Q}}
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\newcommand*{\scR}{\mathscr{R}}
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\newcommand*{\scS}{\mathscr{S}}
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\newcommand*{\scT}{\mathscr{T}}
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\newcommand*{\scU}{\mathscr{U}}
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\newcommand*{\scV}{\mathscr{V}}
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\newcommand*{\scW}{\mathscr{W}}
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\newcommand*{\scX}{\mathscr{X}}
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\newcommand*{\scY}{\mathscr{Y}}
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\newcommand*{\scZ}{\mathscr{Z}}
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% Shortcuts to caligraphic
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%-----------------------------
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\newcommand*{\caA}{\mathcal{A}}
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\newcommand*{\caB}{\mathcal{B}}
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\newcommand*{\caC}{\mathcal{C}}
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\newcommand*{\caD}{\mathcal{D}}
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\newcommand*{\caE}{\mathcal{E}}
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\newcommand*{\caF}{\mathcal{F}}
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\newcommand*{\caG}{\mathcal{G}}
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\newcommand*{\caH}{\mathcal{H}}
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\newcommand*{\caI}{\mathcal{I}}
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\newcommand*{\caJ}{\mathcal{J}}
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\newcommand*{\caK}{\mathcal{K}}
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\newcommand*{\caL}{\mathcal{L}}
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\newcommand*{\caM}{\mathcal{M}}
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\newcommand*{\caN}{\mathcal{N}}
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\newcommand*{\caO}{\mathcal{O}}
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\newcommand*{\caP}{\mathcal{P}}
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\newcommand*{\caQ}{\mathcal{Q}}
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\newcommand*{\caR}{\mathcal{R}}
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\newcommand*{\caS}{\mathcal{S}}
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\newcommand*{\caT}{\mathcal{T}}
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\newcommand*{\caU}{\mathcal{U}}
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\newcommand*{\caV}{\mathcal{V}}
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\newcommand*{\caW}{\mathcal{W}}
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\newcommand*{\caX}{\mathcal{X}}
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\newcommand*{\caY}{\mathcal{Y}}
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\newcommand*{\caZ}{\mathcal{Z}}
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% Shortcuts to bold fonts
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%-----------------------------
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\newcommand*{\bfA}{\mathbf{A}}
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\newcommand*{\bfB}{\mathbf{B}}
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\newcommand*{\bfC}{\mathbf{C}}
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\newcommand*{\bfD}{\mathbf{D}}
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\newcommand*{\bfE}{\mathbf{E}}
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\newcommand*{\bfF}{\mathbf{F}}
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\newcommand*{\bfG}{\mathbf{G}}
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\newcommand*{\bfH}{\mathbf{H}}
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\newcommand*{\bfI}{\mathbf{I}}
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\newcommand*{\bfJ}{\mathbf{J}}
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\newcommand*{\bfK}{\mathbf{K}}
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\newcommand*{\bfL}{\mathbf{L}}
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\newcommand*{\bfM}{\mathbf{M}}
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\newcommand*{\bfN}{\mathbf{N}}
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\newcommand*{\bfO}{\mathbf{O}}
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\newcommand*{\bfP}{\mathbf{P}}
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\newcommand*{\bfQ}{\mathbf{Q}}
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\newcommand*{\bfR}{\mathbf{R}}
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\newcommand*{\bfS}{\mathbf{S}}
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\newcommand*{\bfT}{\mathbf{T}}
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\newcommand*{\bfU}{\mathbf{U}}
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\newcommand*{\bfV}{\mathbf{V}}
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\newcommand*{\bfW}{\mathbf{W}}
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\newcommand*{\bfX}{\mathbf{X}}
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\newcommand*{\bfY}{\mathbf{Y}}
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\newcommand*{\bfZ}{\mathbf{Z}}
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% Shortcuts to Roman fonts
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%-----------------------------
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\newcommand*{\rmA}{\mathrm{A}}
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\newcommand*{\rmB}{\mathrm{B}}
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\newcommand*{\rmC}{\mathrm{C}}
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\newcommand*{\rmD}{\mathrm{D}}
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\newcommand*{\rmE}{\mathrm{E}}
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\newcommand*{\rmF}{\mathrm{F}}
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\newcommand*{\rmG}{\mathrm{G}}
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\newcommand*{\rmH}{\mathrm{H}}
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\newcommand*{\rmI}{\mathrm{I}}
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\newcommand*{\rmJ}{\mathrm{J}}
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\newcommand*{\rmK}{\mathrm{K}}
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\newcommand*{\rmL}{\mathrm{L}}
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\newcommand*{\rmM}{\mathrm{M}}
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\newcommand*{\rmN}{\mathrm{N}}
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\newcommand*{\rmO}{\mathrm{O}}
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\newcommand*{\rmP}{\mathrm{P}}
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\newcommand*{\rmQ}{\mathrm{Q}}
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\newcommand*{\rmR}{\mathrm{R}}
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\newcommand*{\rmS}{\mathrm{S}}
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\newcommand*{\rmT}{\mathrm{T}}
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\newcommand*{\rmU}{\mathrm{U}}
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\newcommand*{\rmV}{\mathrm{V}}
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\newcommand*{\rmW}{\mathrm{W}}
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\newcommand*{\rmX}{\mathrm{X}}
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\newcommand*{\rmY}{\mathrm{Y}}
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\newcommand*{\rmZ}{\mathrm{Z}}
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% Shortcuts Fraktur
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%-----------------------------
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\newcommand*{\fka}{\mathfrak{a}}
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\newcommand*{\fkb}{\mathfrak{b}}
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\newcommand*{\fkc}{\mathfrak{c}}
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\newcommand*{\fkd}{\mathfrak{d}}
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\newcommand*{\fke}{\mathfrak{e}}
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\newcommand*{\fkf}{\mathfrak{f}}
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\newcommand*{\fkg}{\mathfrak{g}}
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\newcommand*{\fkh}{\mathfrak{h}}
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\newcommand*{\fki}{\mathfrak{i}}
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\newcommand*{\fkj}{\mathfrak{j}}
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\newcommand*{\fkk}{\mathfrak{k}}
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\newcommand*{\fkl}{\mathfrak{l}}
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\newcommand*{\fkm}{\mathfrak{m}}
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\newcommand*{\fkn}{\mathfrak{n}}
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\newcommand*{\fko}{\mathfrak{o}}
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\newcommand*{\fkp}{\mathfrak{p}}
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\newcommand*{\fkq}{\mathfrak{q}}
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\newcommand*{\fkr}{\mathfrak{r}}
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\newcommand*{\fks}{\mathfrak{s}}
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\newcommand*{\fkt}{\mathfrak{t}}
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\newcommand*{\fku}{\mathfrak{u}}
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\newcommand*{\fkv}{\mathfrak{v}}
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\newcommand*{\fkw}{\mathfrak{w}}
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\newcommand*{\fkx}{\mathfrak{x}}
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\newcommand*{\fky}{\mathfrak{y}}
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\newcommand*{\fkz}{\mathfrak{z}}
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\newcommand*{\fkA}{\mathfrak{A}}
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\newcommand*{\fkB}{\mathfrak{B}}
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\newcommand*{\fkC}{\mathfrak{C}}
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\newcommand*{\fkD}{\mathfrak{D}}
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\newcommand*{\fkE}{\mathfrak{E}}
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\newcommand*{\fkF}{\mathfrak{F}}
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\newcommand*{\fkG}{\mathfrak{G}}
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\newcommand*{\fkH}{\mathfrak{H}}
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\newcommand*{\fkI}{\mathfrak{I}}
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\newcommand*{\fkJ}{\mathfrak{J}}
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\newcommand*{\fkK}{\mathfrak{K}}
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\newcommand*{\fkL}{\mathfrak{L}}
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\newcommand*{\fkM}{\mathfrak{M}}
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\newcommand*{\fkN}{\mathfrak{N}}
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\newcommand*{\fkO}{\mathfrak{O}}
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\newcommand*{\fkP}{\mathfrak{P}}
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\newcommand*{\fkQ}{\mathfrak{Q}}
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\newcommand*{\fkR}{\mathfrak{R}}
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\newcommand*{\fkS}{\mathfrak{S}}
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\newcommand*{\fkT}{\mathfrak{T}}
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\newcommand*{\fkU}{\mathfrak{U}}
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\newcommand*{\fkV}{\mathfrak{V}}
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\newcommand*{\fkW}{\mathfrak{W}}
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\newcommand*{\fkX}{\mathfrak{X}}
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\newcommand*{\fkY}{\mathfrak{Y}}
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\newcommand*{\fkZ}{\mathfrak{Z}}
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% Shortcuts for font types in math mode.
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%-----------------------------
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\newcommand*{\mbb}[1]{\mathbb{#1}} % Blackboard Bold
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\newcommand*{\msf}[1]{\mathsf{#1}} % Serif
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\newcommand*{\mbf}[1]{\mathbf{#1}} % Bold
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\newcommand*{\mrm}[1]{\mathrm{#1}} % Roman
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\newcommand*{\mfk}[1]{\mathfrak{#1}} % Fraktur
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\newcommand*{\msc}[1]{\mathscr{#1}} % Script
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\newcommand*{\mca}[1]{\mathcal{#1}} % Calligraphic
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%% Symbol shortcuts
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%% ====================================================
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% Shortcuts for arrows
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%-----------------------------
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\newcommand*{\into}{\hookrightarrow}
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\newcommand*{\onto}{\twoheadrightarrow}
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\newcommand*{\cof}{\rightarrowtail}
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\newcommand*{\fib}{\twoheadrightarrow}
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\newcommand*{\acof}{\stackrel{\sim}{\rightarrowtail}}
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\newcommand*{\afib}{\stackrel{\sim}{\twoheadrightarrow}}
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\newcommand*{\weq}{\stackrel{\sim}{\to}}
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\newcommand*{\iso}{\stackrel{\simeq}{\to}}
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%\newcommand*{\rto}{\mathop{\dashrightarrow\!\!\!\!\!%
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% {\color{white}\blacktriangleright}%
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% \!\!\!\!\!\!\rightarrow}}
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\newcommand*{\dashto}{\dashrightarrow}
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% Brackets
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%-----------------------------
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\newcommand{\abs}[1]{\left \lvert #1 \right \rvert}
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\newcommand{\set}[1]{\left \lbrace #1\right \rbrace}
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\newcommand{\nrm}[1]{\left \lVert #1 \right \rVert}
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\newcommand{\abk}[1]{\left \langle #1 \right \rangle}
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\newcommand{\rbk}[1]{\left ( #1 \right )}
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\newcommand{\cbk}[1]{\left \lbrace #1 \right \rbrace}
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\newcommand{\sbk}[1]{\left \lbrack #1 \right \rbrack}
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\newcommand{\dsbk}[1]{\left \llbracket #1 \right \rrbracket}
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\newcommand{\bra}[1]{\langle #1 \rvert}
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\newcommand{\ket}[1]{\lvert #1 \rangle}
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\newcommand{\qmbk}[2]{\langle #1 \mid #2 \rangle}
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% Operators
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%-----------------------------
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\newcommand*{\tsr}{\otimes}
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\newcommand*{\btsr}{\boxtimes}
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\newcommand*{\bigtsr}{\bigotimes}
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\newcommand*{\tms}{\times}
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\newcommand*{\rtm}{\rtimes}
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\newcommand*{\ltm}{\ltimes}
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\newcommand*{\cuppr}{\smallsmile}
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\newcommand*{\cappr}{\smallfrown}
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% Modifiers
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%-----------------------------
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\newcommand*{\sla}[1]{\slashed{#1}}
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\newcommand*{\ol}[1]{\overline{#1}}
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\newcommand*{\wh}[1]{\widehat{#1}}
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\newcommand*{\wt}[1]{\widetilde{#1}}
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% Symbols
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%-----------------------------
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\newcommand*{\id}{\mathrm{id}}
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\newcommand*{\es}{\varnothing}
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\newcommand*{\sm}{\smallsetminus}
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\newcommand*{\sub}{\subset}
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\newcommand*{\subeq}{\subseteq}
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\newcommand*{\ieq}{\cong}
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\newcommand*{\deq}{\stackrel{\mathrm{def}}{=}}
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\newcommand*{\heq}{\simeq}
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\newcommand*{\dg}{\dagger}
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\newcommand*{\bt}{\bullet}
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\newcommand*{\trans}{\pitchfork}
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\newcommand*{\oo}{\infty}
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\newcommand*{\cl}{\colon}
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\newcommand*{\hy}{\text{-}}
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\newcommand*{\cm}{\circ}
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\let\amp\&
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% Operators
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%-----------------------------
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\newcommand*{\sq}{\square}
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\newcommand*{\sqb}{\overline{\square}}
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\newcommand*{\nbl}{\nabla}
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\newcommand*{\nblb}{\overline{\nabla}}
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\newcommand*{\nbls}{\slashed{\nabla}}
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\newcommand*{\del}{\partial}
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\newcommand*{\delb}{\overline{\partial}}
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\newcommand*{\dels}{\slashed{\partial}}
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\newcommand*{\df}{\mathrm{d}}
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% Unicode symbols
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%-----------------------------
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\ifLuaTeX
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\newcommand{\acts}{\ensuremath{\,\rotatebox[origin=c]{-90}{$↻$}\,}}
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\else
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\newcommand{\acts}{%
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\ensuremath{\,\rotatebox[origin=c]{-90}{$\raisebox{0.3mm}{\circlearrowright}$}\,}
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}
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\fi
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%% Subject specific symbols
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%% ====================================================
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% Limits and colimits
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%-----------------------------
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\DeclareMathOperator{\hocofib}{\mathrm{hocofib}}
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\DeclareMathOperator{\hofib}{\mathrm{hofib}}
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\DeclareMathOperator*{\hocolim}{\mathrm{hocolim}}
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\DeclareMathOperator*{\holim}{\mathrm{holim}}
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\DeclareMathOperator*{\colim}{\mathrm{colim}}
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\DeclareMathOperator{\image}{\mathrm{Im}}
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\DeclareMathOperator{\coker}{\mathrm{coker}}
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\newcommand*{\plim}{\varprojlim}
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\newcommand*{\ilim}{\varinjlim}
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% Hom-sets
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%-----------------------------
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\DeclareMathOperator{\Aut}{\mathrm{Aut}}
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\DeclareMathOperator{\cAut}{\mathcal{A}\mathit{ut}}
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\DeclareMathOperator{\sAut}{\mathscr{A}\negthinspace\mathit{ut}}
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\DeclareMathOperator{\bAut}{\mathbf{Aut}}
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\DeclareMathOperator{\uAut}{\underline{\mathrm{Aut}}}
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\DeclareMathOperator{\Iso}{\mathrm{Iso}}
|
||||
\DeclareMathOperator{\cIso}{\mathcal{I}\negthinspace\mathit{so}}
|
||||
\DeclareMathOperator{\sIso}{\mathscr{I}\negthickspace\mathit{so}}
|
||||
\DeclareMathOperator{\bIso}{\mathbf{Iso}}
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||||
\DeclareMathOperator{\uIso}{\underline{\mathrm{Iso}}}
|
||||
|
||||
\DeclareMathOperator{\Hom}{\mathrm{Hom}}
|
||||
\DeclareMathOperator{\cHom}{\mathcal{H}\negthinspace\mathit{om}}
|
||||
\DeclareMathOperator{\sHom}{\mathscr{H}\negthickspace\mathit{om}}
|
||||
\DeclareMathOperator{\bHom}{\mathbf{Hom}}
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||||
\DeclareMathOperator{\uHom}{\underline{\mathrm{Hom}}}
|
||||
|
||||
\DeclareMathOperator{\Map}{\mathrm{Map}}
|
||||
\DeclareMathOperator{\cMap}{\mathcal{M}\mathit{ap}}
|
||||
\DeclareMathOperator{\sMap}{\mathscr{M}\negthinspace\mathit{ap}}
|
||||
\DeclareMathOperator{\bMap}{\mathbf{Map}}
|
||||
\DeclareMathOperator{\uMap}{\underline{\mathrm{Map}}}
|
||||
|
||||
\DeclareMathOperator{\Mor}{\mathrm{Mor}}
|
||||
\DeclareMathOperator{\cMor}{\mathcal{M}\mathit{or}}
|
||||
\DeclareMathOperator{\sMor}{\mathscr{M}\negthinspace\mathit{or}}
|
||||
\DeclareMathOperator{\bMor}{\mathbf{Mor}}
|
||||
\DeclareMathOperator{\uMor}{\underline{\mathrm{Mor}}}
|
||||
|
||||
\DeclareMathOperator{\End}{\mathrm{End}}
|
||||
\DeclareMathOperator{\cEnd}{\mathcal{E}\mathit{nd}}
|
||||
\DeclareMathOperator{\sEnd}{\mathscr{E}\negthinspace\mathit{nd}}
|
||||
\DeclareMathOperator{\bEnd}{\mathbf{End}}
|
||||
\DeclareMathOperator{\uEnd}{\underline{\mathrm{End}}}
|
||||
|
||||
\DeclareMathOperator{\Func}{\mathrm{Func}}
|
||||
\DeclareMathOperator{\bFunc}{\mathbf{Func}}
|
||||
|
||||
\DeclareMathOperator{\Nat}{\mathrm{Nat}}
|
||||
\DeclareMathOperator{\bNat}{\mathbf{Nat}}
|
||||
|
||||
|
||||
% Algebraic Geometry
|
||||
%-----------------------------
|
||||
% Categories
|
||||
\newcommand*{\ctStack}{\mathbf{Stack}}
|
||||
\newcommand*{\ctdStack}{\mathbf{dStack}}
|
||||
\newcommand*{\ctdSch}{\mathbf{dSch}}
|
||||
\newcommand*{\ctSch}{\mathbf{Sch}}
|
||||
\newcommand*{\ctVar}{\mathbf{Var}}
|
||||
\newcommand*{\ctProj}{\mathbf{Proj}}
|
||||
\newcommand*{\ctqProj}{\mathbf{qProj}}
|
||||
\newcommand*{\ctSm}{\mathbf{Sm}}
|
||||
\newcommand*{\ctSmProj}{\mathbf{SmProj}}
|
||||
\newcommand*{\ctCor}{\mathbf{Cor}}
|
||||
\newcommand*{\ctM}{\mathbf{M}}
|
||||
\newcommand*{\ctMM}{\mathbf{MM}}
|
||||
\newcommand*{\ctCoh}{\mathbf{Coh}}
|
||||
\newcommand*{\ctqCoh}{\mathbf{qCoh}}
|
||||
\newcommand*{\ctConst}{\mathbf{Const}}
|
||||
\newcommand*{\ctHdg}{\mathbf{Hdg}}
|
||||
\newcommand*{\ctMHS}{\mathbf{MHS}}
|
||||
\newcommand*{\ctHdgMod}{\mathbf{HdgMod}}
|
||||
\newcommand*{\ctPerv}{\mathbf{Perv}}
|
||||
\newcommand*{\ctBun}{\mathbf{Bun}}
|
||||
\newcommand*{\ctLoc}{\mathbf{Loc}}
|
||||
\newcommand*{\ctDMod}{\mathcal{D}\hy\mathbf{Mod}}
|
||||
\newcommand*{\ctHrc}{\mathbf{Hrc}}
|
||||
\newcommand*{\ctHypCov}{\mathbf{HypCov}}
|
||||
\newcommand*{\ctCov}{\mathbf{Cov}}
|
||||
|
||||
% Moduli spaces
|
||||
\newcommand*{\Coh}{\mathrm{Coh}}
|
||||
\newcommand*{\sCoh}{\mathscr{C}\negthinspace\mathit{oh}}
|
||||
\newcommand*{\cCoh}{\mathcal{Coh}}
|
||||
\newcommand*{\bCoh}{\mathbf{Coh}}
|
||||
|
||||
\newcommand*{\Crys}{\mathrm{Crys}}
|
||||
\newcommand*{\sCrys}{\mathscr{C}\negthinspace\mathit{rys}}
|
||||
\newcommand*{\cCrys}{\mathcal{Crys}}
|
||||
\newcommand*{\bCrys}{\mathbf{Crys}}
|
||||
|
||||
\newcommand*{\Vect}{\mathrm{Vect}}
|
||||
\newcommand*{\cVect}{\mathcal{Vect}}
|
||||
\newcommand*{\sVect}{\mathscr{V}\negthickspace\mathit{ect}}
|
||||
\newcommand*{\bVect}{\mathbf{Vect}}
|
||||
|
||||
\newcommand*{\Bun}{\mathrm{Bun}}
|
||||
\newcommand*{\cBun}{\mathcal{Bun}}
|
||||
\newcommand*{\sBun}{\mathscr{B}\negthinspace\mathit{un}}
|
||||
\newcommand*{\bBun}{\mathbf{Bun}}
|
||||
|
||||
\newcommand*{\Loc}{\mathrm{Loc}}
|
||||
\newcommand*{\cLoc}{\mathcal{Loc}}
|
||||
\newcommand*{\sLoc}{\mathscr{L}\negthinspace\mathit{oc}}
|
||||
\newcommand*{\bLoc}{\mathbf{Loc}}
|
||||
|
||||
\newcommand*{\Hilb}{\mathrm{Hilb}}
|
||||
\newcommand*{\cHilb}{\mathcal{Hilb}}
|
||||
\newcommand*{\sHilb}{\mathscr{H}\negthinspace\mathit{ilb}}
|
||||
\newcommand*{\bHilb}{\mathbf{Hilb}}
|
||||
|
||||
\newcommand*{\Quot}{\mathrm{Quot}}
|
||||
\newcommand*{\cQuot}{\mathcal{Quot}}
|
||||
\newcommand*{\sQuot}{\mathscr{Q}\negthinspace\mathit{uot}}
|
||||
\newcommand*{\bQuot}{\mathbf{Quot}}
|
||||
|
||||
\newcommand*{\Pic}{\mathrm{Pic}}
|
||||
\newcommand*{\cPic}{\mathcal{Pic}}
|
||||
\newcommand*{\sPic}{\mathscr{P}\negthinspace\mathit{ic}}
|
||||
\newcommand*{\bPic}{\mathbf{Pic}}
|
||||
|
||||
\newcommand*{\Grass}{\mathrm{Grass}}
|
||||
\newcommand*{\cGrass}{\mathcal{Grass}}
|
||||
\newcommand*{\sGrass}{\mathscr{G}\negthinspace\mathit{rass}}
|
||||
\newcommand*{\bGrass}{\mathbf{Grass}}
|
||||
|
||||
\newcommand*{\Frob}{\mathrm{Frob}}
|
||||
|
||||
\DeclareMathOperator{\Spec}{\mathrm{Spec}}
|
||||
\DeclareMathOperator{\bSpec}{\mathbf{Spec}}
|
||||
\DeclareMathOperator{\Proj}{\mathrm{Proj}}
|
||||
\DeclareMathOperator{\bProj}{\mathbf{Proj}}
|
||||
|
||||
\DeclareMathOperator{\Sing}{\mathrm{Sing}}
|
||||
\DeclareMathOperator{\Cl}{\mathrm{Cl}}
|
||||
\DeclareMathOperator{\CaCl}{\mathrm{CaCl}}
|
||||
\DeclareMathOperator{\Div}{\mathrm{Div}}
|
||||
\DeclareMathOperator{\divisor}{\mathrm{div}}
|
||||
% \renewcommand*{\div}{\mathrm{\divisor}} % Hey, sure ?!?
|
||||
\DeclareMathOperator{\Res}{\mathrm{Res}}
|
||||
\DeclareMathOperator{\res}{\mathrm{res}}
|
||||
\DeclareMathOperator{\Bl}{\mathrm{Bl}}
|
||||
\DeclareMathOperator{\CH}{\mathrm{CH}}
|
||||
\DeclareMathOperator{\Lsu}{\slashed{\Sigma}}
|
||||
\DeclareMathOperator{\sh}{\mathrm{sh}}
|
||||
|
||||
|
||||
\newcommand*{\nis}{\mathrm{nis}} % Nisnevich
|
||||
\newcommand*{\zar}{\mathrm{zar}} % Zariski
|
||||
\newcommand*{\et}{\mathrm{\acute et}} % Etale
|
||||
\newcommand*{\cdh}{\mathrm{cdh}} % cdh
|
||||
\newcommand*{\fppf}{\mathrm{fppf}} % fppf
|
||||
\newcommand*{\fpqc}{\mathrm{fpqc}} % fpqc
|
||||
\newcommand*{\crys}{\mathrm{crys}} % Crystalline
|
||||
\newcommand*{\an}{\mathrm{an}} % analytic
|
||||
\newcommand*{\red}{\mathrm{red}} % reduced
|
||||
\newcommand*{\sst}{\mathrm{sst}} % simplicial semi-topological
|
||||
\newcommand*{\rat}{\mathrm{rat}} % rational
|
||||
\newcommand*{\num}{\mathrm{num}} % numerical
|
||||
\newcommand*{\alg}{\mathrm{alg}} % algebraic
|
||||
\newcommand*{\dR}{\mathrm{dR}} % de Rham
|
||||
\newcommand*{\hdg}{\mathrm{hdg}} % Hodge
|
||||
\newcommand*{\hol}{\mathrm{hol}} % Holonomic
|
||||
|
||||
%\newcommand*{\hom}{\mathrm{hom}} % homological
|
||||
|
||||
|
||||
|
||||
% Differential geometry
|
||||
%-----------------------------
|
||||
\newcommand*{\ctKah}{\mathbf{K\ddot{a}h}}
|
||||
\newcommand*{\ctMan}{\mathbf{Man}}
|
||||
\newcommand*{\ctSuMan}{\mathbf{SuMan}}
|
||||
\newcommand*{\ctCpx}{\mathbf{Cpx}}
|
||||
\newcommand*{\ctAlCpx}{\mathbf{AlCpx}}
|
||||
\newcommand*{\ctSymp}{\mathbf{Symp}}
|
||||
|
||||
\newcommand*{\ctFlatBun}{\mathbf{FlatBun}}
|
||||
\newcommand*{\ctHiggs}{\mathbf{Higgs}}
|
||||
|
||||
|
||||
|
||||
% Topology
|
||||
%-----------------------------
|
||||
\newcommand*{\ctpSh}{\mathbf{pSh}}
|
||||
\newcommand*{\ctSh}{\mathbf{Sh}}
|
||||
\newcommand*{\ctTop}{\mathbf{Top}}
|
||||
\newcommand*{\ctSpc}{\mathbf{Spc}}
|
||||
\newcommand*{\ctSpt}{\mathbf{Spt}}
|
||||
\newcommand*{\ctCW}{\mathbf{CW}}
|
||||
\newcommand*{\ctsSet}{\mathbf{sSet}}
|
||||
\newcommand*{\ctKan}{\mathbf{Kan}}
|
||||
\newcommand*{\ctHo}{\mathbf{Ho}}
|
||||
|
||||
\DeclareMathOperator{\Cyl}{\mathrm{Cyl}}
|
||||
\DeclareMathOperator{\Cone}{\mathrm{Cone}}
|
||||
|
||||
\DeclareMathOperator{\ch}{\mathrm{ch}}
|
||||
\DeclareMathOperator{\todd}{\mathrm{todd}}
|
||||
|
||||
\newcommand*{\sing}{\mathrm{sing}} % Singular
|
||||
|
||||
|
||||
% Operads
|
||||
%-----------------------------
|
||||
\newcommand*{\ctOp}{\mathbf{Op}}
|
||||
\newcommand*{\ctdgOp}{\mathbf{dgOp}}
|
||||
|
||||
\newcommand*{\opEnd}{\mathcal{E}\mathit{nd}}
|
||||
\newcommand*{\opAss}{\mathcal{A}\mathit{ss}}
|
||||
\newcommand*{\opLie}{\mathcal{L}\mathit{ie}}
|
||||
\newcommand*{\opCom}{\mathcal{C}\!\mathit{om}}
|
||||
\newcommand*{\opBV}{\mathcal{BV}}
|
||||
\newcommand*{\opGer}{\mathcal{G}\!\mathit{er}}
|
||||
|
||||
|
||||
% Algebra
|
||||
%-----------------------------
|
||||
\newcommand*{\ctArt}{\mathbf{Art}}
|
||||
\newcommand*{\ctVect}{\mathbf{Vect}}
|
||||
\newcommand*{\ctCh}{\mathbf{Ch}}
|
||||
\newcommand*{\ctMod}{\mathbf{Mod}}
|
||||
\newcommand*{\ctAb}{\mathbf{Ab}}
|
||||
\newcommand*{\ctsAb}{\mathbf{sAb}}
|
||||
\newcommand*{\ctGrp}{\mathbf{Grp}}
|
||||
\newcommand*{\ctRng}{\mathbf{Rng}}
|
||||
\newcommand*{\ctComRng}{\mathbf{ComRng}}
|
||||
\newcommand*{\ctAlg}{\mathbf{Alg}}
|
||||
\newcommand*{\ctsAlg}{\mathbf{sAlg}}
|
||||
\newcommand*{\ctdgAlg}{\mathbf{dgAlg}}
|
||||
\newcommand*{\ctAooAlg}{A^{\infty}\hy\mathbf{Alg}}
|
||||
|
||||
\DeclareMathOperator{\Ext}{\mathrm{Ext}}
|
||||
\DeclareMathOperator{\bExt}{\mathbf{Ext}}
|
||||
\DeclareMathOperator{\sExt}{\mathscr{E}\negthickspace\mathit{xt}}
|
||||
|
||||
\DeclareMathOperator{\Tor}{\mathrm{Tor}}
|
||||
\DeclareMathOperator{\bTor}{\mathbf{Tor}}
|
||||
\DeclareMathOperator{\sTor}{\mathscr{T}\negthickspace\mathit{or}}
|
||||
|
||||
\DeclareMathOperator{\D}{\mathbf{D}}
|
||||
\DeclareMathOperator{\Doo}{\mathbf{D_{\infty}}}
|
||||
\DeclareMathOperator{\Gal}{\mathrm{Gal}}
|
||||
\DeclareMathOperator{\Gr}{\mathrm{Gr}}
|
||||
\DeclareMathOperator{\Sym}{\mathrm{Sym}}
|
||||
\DeclareMathOperator{\Alt}{\mathrm{Alt}}
|
||||
\DeclareMathOperator{\cha}{\mathrm{char}}
|
||||
\DeclareMathOperator{\Tot}{\mathrm{Tot}}
|
||||
|
||||
\newcommand*{\ssmpl}{\mathrm{ss}} % Semi simple
|
||||
|
||||
|
||||
% Category Theory
|
||||
%-----------------------------
|
||||
\newcommand*{\ctSet}{\mathbf{Set}}
|
||||
\newcommand*{\ctCat}{\mathbf{Cat}}
|
||||
\newcommand*{\ctGpd}{\mathbf{Gpd}}
|
||||
\newcommand*{\ctooCat}{\infty\hy\mathbf{Cat}}
|
||||
\newcommand*{\ctooGpd}{\infty\hy\mathbf{Gpd}}
|
||||
\newcommand*{\ctdgCat}{\mathbf{dgCat}}
|
||||
\newcommand*{\ctStab}{\mathbf{Stab}}
|
||||
\newcommand*{\ctAooCat}{A^{\infty}\hy\mathbf{Cat}}
|
||||
|
||||
\newcommand*{\ctArr}{\mathbf{Arr}}
|
||||
\newcommand*{\ctDiag}{\mathbf{Diag}}
|
||||
\newcommand*{\ctcoDiag}{\mathbf{coDiag}}
|
||||
\newcommand*{\ctSpan}{\mathbf{Span}}
|
||||
\newcommand*{\Typ}{\mathrm{Typ}}
|
||||
|
||||
\newcommand*{\op}{\mathrm{op}} % Opposite category
|
||||
\newcommand*{\ctu}{\mathbf{1}} % Monoidal unit
|
||||
|
||||
|
||||
% Analysis
|
||||
%-----------------------------
|
||||
\newcommand\pder[2]{\frac{\partial #1}{\partial #2}}
|
||||
\WithSuffix\newcommand\pder*[2]{\sfrac{\partial #1}{\partial #2}}
|
||||
\newcommand\dder[2]{\frac{\mathrm{d} #1}{\mathrm{d} #2}}
|
||||
\WithSuffix\newcommand\dder*[2]{\sfrac{\mathrm{d} #1}{\mathrm{d} #2}}
|
||||
|
||||
|
||||
% Lie Groups and Lie algebras
|
||||
%-----------------------------
|
||||
\newcommand*{\lieSL}{\mathrm{SL}}
|
||||
\newcommand*{\lieGL}{\mathrm{GL}}
|
||||
\newcommand*{\lieSO}{\mathrm{SO}}
|
||||
\newcommand*{\lieO}{\mathrm{O}}
|
||||
\newcommand*{\lieU}{\mathrm{U}}
|
||||
\newcommand*{\lieSU}{\mathrm{SU}}
|
||||
\newcommand*{\lieSp}{\mathrm{Sp}}
|
||||
|
||||
\newcommand*{\liesl}{\mathfrak{sl}}
|
||||
\newcommand*{\liegl}{\mathfrak{gl}}
|
||||
\newcommand*{\lieso}{\mathfrak{so}}
|
||||
\newcommand*{\lieo}{\mathfrak{o}}
|
||||
\newcommand*{\lieu}{\mathfrak{u}}
|
||||
\newcommand*{\liesu}{\mathfrak{su}}
|
||||
\newcommand*{\liesp}{\mathfrak{sp}}
|
||||
|
||||
|
||||
% Shortcuts for sub and superscripts.
|
||||
|
||||
%\newcommand*{\top}{\mathrm{top}} % topological
|
||||
%\newcommand*{\b}{\mathrm{b}} % bounded
|
||||
|
||||
|
||||
% Miscelania
|
||||
%-----------------------------
|
||||
\DeclareMathOperator{\codim}{\mathrm{codim}}
|
||||
\DeclareMathOperator{\rank}{\mathrm{rank}}
|
||||
\DeclareMathOperator{\tr}{\mathrm{tr}}
|
||||
\DeclareMathOperator{\Supp}{\mathrm{Supp}}
|
||||
\DeclareMathOperator{\supp}{\mathrm{supp}}
|
||||
Reference in New Issue
Block a user