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Topology of groups of automorphisms of surfaces, and high dimensional analogues.
0
votes
2
answers
341
views
The action of periodic map on the complex of curves
Hi, everyone.
Assume $S$ is a genus at least 2 orientable closed surface. And there is a simplical complex
defined on $S$ called Curve complex.
It is well known that any automorphism of surface $ …
2
votes
1
answer
218
views
Requiring references
Assume $V$ be a genus larger than 1 handlebody, $S=\partial_{+} V$.
Denote $N$ be the normal closure of $MCG(V)$ in $MCG(S)$.
Is there any material related to the quotient group $MCG(S)/N$ ?
Thanks! …
6
votes
2
answers
286
views
The action of torsion of $MCG(S)$ on curve complex
Hi everyone.
Let $S$ be a closed surface with genus at least 3, $\alpha, \beta$ be the two vertices of
curve complex of $S$ such that $d_{\mathcal {C}(S)}(\alpha, \beta)\geq 3$.
My question is
…