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Results tagged with mapping-class-groups
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user 25511
Topology of groups of automorphisms of surfaces, and high dimensional analogues.
14
votes
3
answers
679
views
Compact manifolds with big mapping class group
I was wondering if compact surfaces were the only compact manifolds with a "big" or "complicated" mapping class group.
Are there higher dimensional manifolds (which are not in some way reducible to …
- 2,696
2
votes
1
answer
319
views
Veech group and mapping class group
So I have this question which is somewhat directed to people knowing a bit about translation surfaces. I am sure it is only a technical issue.
I consider $f : (\Sigma, \omega) \longrightarrow (\Sigma …
- 2,696
3
votes
1
answer
1k
views
Explicit computation of the action of a Dehn twist on the fundamental group of a surface
Let $S$ be a compact orientable surface of genus $g$. Now let $p\in S$ and $\gamma$ a closed simple curve on $S$ disjoint from $p$. It is not very difficult to compute the action of a Dehn twist along …
- 2,696