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Results tagged with mapping-class-groups
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user 56571
Topology of groups of automorphisms of surfaces, and high dimensional analogues.
6
votes
2
answers
507
views
generators for the handlebody group of genus two
Is the handlebody group of genus two surface generated by Dehn twists along properly embedded disks and annuli?
Are there alternative ways to describe a set of generators that are conceptually simple …
- 858
5
votes
2
answers
521
views
Finiteness properties of mapping class groups
Question: Is it known if the mapping class groups (of surfaces of finite type) are similar to Gromov-hyperbolic groups in the following senses:
1) Does every finite generating set give us a finite p …
- 858
2
votes
1
answer
181
views
index of the subgroup of the mapping class group acting trivially on Z/3Z homology
Let $S=S_g$ be the closed orientable surface of genus $g$ and let $\Gamma_3(S)$ be the subgroup of the mapping class group, $Mod(S)$, which acts trivially on $H_1(S;\mathbb{Z/3\mathbb{Z}})$. Define $\ …
- 858