- Commit
- 95fbf362def57dc0b4c800cc01662c44210fd63e
- Parent
- 2f6478d4ac35a2cb4274e8e555f4cd86ba683de1
- Author
- Pablo <pablo-pie@riseup.net>
- Date
Added some TODO items
My M2 Memoire on mapping class groups & their representations
Added some TODO items
2 files changed, 3 insertions, 0 deletions
Status | File Name | N° Changes | Insertions | Deletions |
Modified | sections/introduction.tex | 2 | 2 | 0 |
Modified | sections/presentation.tex | 1 | 1 | 0 |
diff --git a/sections/introduction.tex b/sections/introduction.tex @@ -354,6 +354,8 @@ S_1\) and the once-punctured torus \(S_{1, 1}\). By the same token, \(\Mod(S_{1, 1}) \cong \operatorname{SL}_2(\mathbb{Z})\). \end{example} +% TODO: Add comments on the proof of linearity of Mod(S_2) by Korkmaz and +% Bigelow-Budney? \begin{note} Despite the fact \(\psi : \Mod(\mathbb{T}^2) \to \operatorname{SL}_2(\mathbb{Z})\) is an isomorphism, the symplectic
diff --git a/sections/presentation.tex b/sections/presentation.tex @@ -9,6 +9,7 @@ geometry of curves in \(S_g\) -- see Theorem~\ref{thm:wajnryb-presentation}. We start by the so called \emph{lantern relation}. +% TODO: Add a sketch of proof? \begin{fundamental-observation} Let \(S_0^4\) be the surface the of genus \(0\) with \(4\) boundary components -- i.e. the \emph{lantern-like} surface we get by subtracting