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Results tagged with gt.geometric-topology
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user 25511
Topology of cell complexes and manifolds, classification of manifolds (e.g. smoothing, surgery), low dimensional topology (e.g. knot theory, invariants of 4-manifolds), embedding theory, combinatorial and PL topology, geometric group theory, infinite dimensional topology (e.g. Hilbert cube manifolds, theory of retracts).
4
votes
1
answer
273
views
Pseudo-Anosov diffeomorphisms vs reducible diffeomorphisms
I was wondering if anyone knew a 'simple' proof of the fact that a pseudo-Anosov diffeomorphism of a closed surface $\Sigma$ is not reducible, in the sense that it does not fix the free homotopy class …
- 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
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
26
votes
6
answers
3k
views
How to get convinced that there are a lot of 3-manifolds?
My question is rather philosophical : without using advanced tools as Perlman-Thurston's geometrisation, how can we get convinced that the class of closed oriented $3$-manifolds is large and that simp …
- 2,696