memoire-m2
My M2 Memoire on mapping class groups & their representations
Name | Size | Mode | |
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preamble.tex | 2773B | -rw-r--r-- |
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\usepackage{mathtools, adjustbox} \usepackage{xfrac, cancel, multicol, tabularx, relsize} \usepackage[normalem]{ulem} \usepackage[backend=biber, bibstyle=ieee]{biblatex} \usepackage{tikz-cd} \usepackage{graphicx, wrapfig} % Useful theorem definitions \theoremstyle{theorem} \newboxedtheorem{theorem}{Theorem} \newboxedtheorem{lemma}{Lemma} \newboxedtheorem{corollary}{Corollary} \newboxedtheorem{proposition}{Proposition} \theoremstyle{definition} \newboxedtheorem{definition}{Definition} \newtheorem{example}[theorem]{Example} \newtheorem{fundamental-example}[theorem]{Fundamental Example} \newtheorem{observation}[theorem]{Observation} \newtheorem{fundamental-observation}[theorem]{Fundamental Observation} \newtheorem{fact}[theorem]{Fact} \theoremstyle{remark} \newtheorem*{remark}{Remark} % Use \blacksquare for \qed \renewcommand{\qedsymbol}{\ensuremath{\blacksquare}} % Only use \smallsetminus \renewcommand{\setminus}{\smallsetminus} % Make the arrow on top of \vec adjust to the content \renewcommand{\vec}{\overrightarrow} % Get propper inequality symbols \renewcommand{\leq}{\leqslant} \renewcommand{\le}{\leqslant} \renewcommand{\geq}{\geqslant} \renewcommand{\ge}{\geqslant} % Fix the subset/supset symbols \renewcommand{\subset}{\subseteq} \renewcommand{\supset}{\supseteq} % A semantic alternative to \textbf \newcommand{\strong}[1]{\textbf{#1}} % Display long arrows instead of short ones \renewcommand{\to}{\longrightarrow} \renewcommand{\mapsto}{\longmapsto} \renewcommand{\hookrightarrow}{\lhook\joinrel\longrightarrow} % Isomorphism arrow \newcommand{\isoto} {\xlongrightarrow{\smash{\raisebox{-0.65ex}{\ensuremath{\scriptstyle\sim}}}}} % Fix the goddamn \chi macro! % For some reason the default LaTeX fonts place this character much lower than % where people actually expect it to be. This new definition place it in with % the appropriate spacing \renewcommand{\chi}{\ensuremath \raisebox{\depth}{$\mathchar"11F$}} % MCGs of a surface \DeclareMathOperator{\Mod}{Mod} \DeclareMathOperator{\PMod}{PMod} \DeclareMathOperator{\SMod}{SMod} % Group of homeomorphisms \DeclareMathOperator{\Homeo}{Homeo} \DeclareMathOperator{\SHomeo}{SHomeo} % General linear group \DeclareMathOperator{\GL}{GL} \DeclareMathOperator{\PGL}{PGL} % Group Abelianization \newcommand{\ab}{{\operatorname{ab}}} % Group action symbol \newcommand{\leftaction}{\,\rotatebox[origin=c]{-90}{$\circlearrowleft$}\,} \newcommand{\rightaction}{\,\rotatebox[origin=c]{90}{$\circlearrowright$}\,} % Quotient object \newcommand{\mfrac}[2]{\mathlarger{\mathlarger{\sfrac{#1}{#2}}}} % A normal subobject in a pointed cathegory \newcommand{\normal}{\triangleleft} % Useful category definitions \newcommand{\Cob}{\mathbf{Cob}_3^+} \newcommand{\Vect}{\mathbf{Vect}(\mathbb{C})}