- Commit
- 6aaa81947c1e2a33519bab04a7c960a41253b7fd
- Parent
- c93e7373196dc96e6b9d65275f85ce3b4dffcc59
- Author
- Pablo <pablo-pie@riseup.net>
- Date
Minor tweak in notation
Tweaked the notation of the statement of Wajnryb's presentation
My M2 Memoire on mapping class groups & their representations
Minor tweak in notation
Tweaked the notation of the statement of Wajnryb's presentation
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 \[