memoire-m2

My M2 Memoire on mapping class groups & their representations

git clone: git://git.pablopie.xyz/memoire-m2
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Commit: 6aaa81947c1e2a33519bab04a7c960a41253b7fd
Parent: c93e7373196dc96e6b9d65275f85ce3b4dffcc59
Author: Pablo <pablo-pie@riseup.net>
Date: Sat, 22 Jun 2024 13:28:57 +0000

Minor tweak in notation

Tweaked the notation of the statement of Wajnryb's presentation

Diffstat

1 file changed, 4 insertions, 4 deletions

Status	File Name	N° Changes	Insertions	Deletions
Modified	sections/presentation.tex	8	4	4

diff --git a/sections/presentation.tex b/sections/presentation.tex
@@ -430,11 +430,11 @@ which is widely considered to the the standard presentation of
   then there is a presentation of \(\Mod(S_g)\) with generators \(a_0, \ldots
   a_{2g}\) subject to the following relations.
   \begin{enumerate}
-    \item The disjointness relations \([a_i, a_j] = 1\) for \(\alpha_i \cdot
-      \alpha_j = 0\).
+    \item The disjointness relations \([a_i, a_j] = 1\) for \(\alpha_i\) and
+      \(\alpha_j\) disjoint.
 
-    \item The braid relations \(a_i a_j a_i = a_j a_i a_j\) for \(\alpha_i
-      \cdot \alpha_j = 1\).
+    \item The braid relations \(a_i a_j a_i = a_j a_i a_j\) for \(\alpha_i\)
+      \(\alpha_j\) crossing once.
 
     \item The \(3\)-chain relation \((a_1 a_2 a_3)^4 = a_0 b_0\), where
       \[