- Commit
- 20b339fbb44ee00e3ae06daa588ae05e5e32df72
- Parent
- 823af40175aabbc4d09137582736306de69d4d6e
- Author
- Pablo <pablo-pie@riseup.net>
- Date
Fixed a typo in the title
Memoir → Mémoire
My M2 Memoire on mapping class groups & their representations
Fixed a typo in the title
Memoir → Mémoire
3 files changed, 66 insertions, 66 deletions
Status | File Name | N° Changes | Insertions | Deletions |
Deleted | memoir.tex | 65 | 0 | 65 |
Added | memoire.tex | 65 | 65 | 0 |
Modified | memoires.cls | 2 | 1 | 1 |
diff --git a/memoir.tex b/memoir.tex @@ -1,65 +0,0 @@ -\documentclass{memoires} -\input{./preamble.tex} -\addbibresource{references.bib} - -\title{Mapping Class Groups \\ \& \\ their Representations} -\author{Thiago Brevidelli Garcia} -\dedication{This master thesis is dedicated to my dear friend Lucas Schiezari. \\ May he rest in peace.} - -\begin{document} - -\makecover -\maketitle - -\begin{about} - This is my M2 Memoir (Master Thesis), written in June 2024 under the - supervision of professor Maxime Wolff of the Institut of Mathématiques de - Toulouse (IMT), France. The subject of the dissertation at hand is the notion - of the mapping class group of a surface, their linear representations and - some recent developments in the field. Namely, we discuss Korkmaz' proof of - the triviality of low-dimensional representations. - - Throughout these notes we will follow some guiding principles. First, lengthy - proofs are favored as opposed to collections of smaller lemmas. This is a - deliberate effort to emphasize the relevant results. That said, this - dissertation is meant to be concise. Hence numerous results are left - unproved. We refer the reader to proofs in other materials when appropriate. - - Our main references are the beautiful book by Farb-Margalit - \cite{farb-margalit}, as well as the 2023 article by Korkmaz \cite{korkmaz}. - We assume the reader is already familiar with basic topology and group - theory. Crucially, we \emph{do not} assume any familiarity with - representation theory. - - \section*{Acknowledgments} - - I would like to thank my friends and family for their tireless love and - support. Special thanks to my girlfriend for her endless encouragement and - understanding during this challenging year. I should also thank M. Faitg for - his help with the discussion on TQFT representations. - - \section*{License} - - This document was typeset and compiled using free software. Its \LaTeX~source - code is freely available at \url{https://git.pablopie.xyz/memoire-m2}, for - distribution under the terms of the - \href{https://creativecommons.org/licenses/by/4.0/}{Creative Commons - Attribution 4.0 license}. -\end{about} - -\tableofcontents - -\input{sections/introduction} - -\input{sections/twists} - -\input{sections/presentation} - -\input{sections/representations} - -\printbibliography - -% Backcover -\makecover[b] -\end{document} -
diff --git a/memoire.tex b/memoire.tex @@ -0,0 +1,65 @@ +\documentclass{memoires} +\input{./preamble.tex} +\addbibresource{references.bib} + +\title{Mapping Class Groups \\ \& \\ their Representations} +\author{Thiago Brevidelli Garcia} +\dedication{This master thesis is dedicated to my dear friend Lucas Schiezari. \\ May he rest in peace.} + +\begin{document} + +\makecover +\maketitle + +\begin{about} + This is my M2 Mémoire (Master Thesis), written in June 2024 under the + supervision of professor Maxime Wolff of the Institut of Mathématiques de + Toulouse (IMT), France. The subject of the dissertation at hand is the notion + of the mapping class group of a surface, their linear representations and + some recent developments in the field. Namely, we discuss Korkmaz' proof of + the triviality of low-dimensional representations. + + Throughout these notes we will follow some guiding principles. First, lengthy + proofs are favored as opposed to collections of smaller lemmas. This is a + deliberate effort to emphasize the relevant results. That said, this + dissertation is meant to be concise. Hence numerous results are left + unproved. We refer the reader to proofs in other materials when appropriate. + + Our main references are the beautiful book by Farb-Margalit + \cite{farb-margalit}, as well as the 2023 article by Korkmaz \cite{korkmaz}. + We assume the reader is already familiar with basic topology and group + theory. Crucially, we \emph{do not} assume any familiarity with + representation theory. + + \section*{Acknowledgments} + + I would like to thank my friends and family for their tireless love and + support. Special thanks to my girlfriend for her endless encouragement and + understanding during this challenging year. I should also thank M. Faitg for + his help with the discussion on TQFT representations. + + \section*{License} + + This document was typeset and compiled using free software. Its \LaTeX~source + code is freely available at \url{https://git.pablopie.xyz/memoire-m2}, for + distribution under the terms of the + \href{https://creativecommons.org/licenses/by/4.0/}{Creative Commons + Attribution 4.0 license}. +\end{about} + +\tableofcontents + +\input{sections/introduction} + +\input{sections/twists} + +\input{sections/presentation} + +\input{sections/representations} + +\printbibliography + +% Backcover +\makecover[b] +\end{document} +
diff --git a/memoires.cls b/memoires.cls @@ -803,7 +803,7 @@ % Title \if\relax\detokenize\expandafter{#1}\relax \node[white] at ($(current page.center)+(0,4)$) - {\fontsize{32}{37}\selectfont\bfseries{Memoir}}; + {\fontsize{32}{37}\selectfont\bfseries{Mémoire}}; \node[white] at ($(current page.center)+(0,3)$) {\Large\scshape\@author}; \node[white] at ($(current page.center)+(0,2)$)