memoire-m2

My M2 Memoire on mapping class groups & their representations

git clone: git://git.pablopie.xyz/memoire-m2
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Commit: 42dd39d46fb24450e228ba1c2fb0f76818749f4c
Parent: e35c098d6902da151121e67510c3017458aad8fa
Author: Pablo <pablo-pie@riseup.net>
Date: Thu, 27 Jun 2024 08:11:45 +0000

Fixed the formatting of the 2nd chapter

Diffstat

1 file changed, 6 insertions, 3 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/twists.tex	9	6	3

diff --git a/sections/twists.tex b/sections/twists.tex
@@ -454,11 +454,14 @@ Theorem~\ref{thm:mcg-is-fg}.
     \label{fig:torus-mcg-generators}
   \end{figure}
 
+  \newpage
+
   Now suppose \(\PMod(\Sigma_{g, r})\) is finitely-generated by twists about
   nonseparating curves for \(g \ge 2\) or \(g = 1\) and \(r > 1\). In both
-  case, \(\chi(\Sigma_{g, r}) = 2 - 2g - r < 0\) and thus \(\pi_1(\Homeo^+(\Sigma_{g,
-  r})) = 1\) -- see \cite[Theorem~1.14]{farb-margalit}. The Birman exact
-  sequence from Theorem~\ref{thm:birman-exact-seq} then gives us
+  case, \(\chi(\Sigma_{g, r}) = 2 - 2g - r < 0\) and thus
+  \(\pi_1(\Homeo^+(\Sigma_{g, r})) = 1\) -- see
+  \cite[Theorem~1.14]{farb-margalit}. The Birman exact sequence from
+  Theorem~\ref{thm:birman-exact-seq} then gives us
   \begin{center}
     \begin{tikzcd}
       1 \rar