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Results tagged with gt.geometric-topology
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user 41219
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).
7
votes
Accepted
How do I efficiently find a sequence of Reidemeister moves between equivalent link diagrams?
In 2011 Coward-Lackenby proved the following, and they also provided an upper bound on the number of moves.
There is a computable function F : N×N → N such that for any two connected
diagrams D …
- 828
7
votes
2
answers
528
views
Teichmuller geodesics vs. geodesics in the hyperbolic plane
Geodesics in $\mathbb H^2$ have the following properties:
For every two points in the plane there exists a unique geodesic joining them.
Every geodesic determines exactly two points on the boundar …
- 828
2
votes
1
answer
294
views
Centralizer of a pseudo-Anosov element
What is the centralizer of a pseudo-Anosov element in the mapping class group of an orientable punctured surface? Is it cyclic? If so, where can I find a proof?
- 828
6
votes
1
answer
774
views
Torsion elements in the mapping class group
Let $S$ be an orientable surface of genus $g$ with $b>0$ boundary components, and let $\mathrm{Mod}(S)$ be its mapping class group, that is, the group of isotopy classes of its homeomorphisms modulo i …
- 828
3
votes
Teichmüller space on non-orientable closed surfaces
A very nice paper about the Teichm\"uller space of non-orientable surfaces, Fenchel-Nielsen coordinates and other generalizations of Thurston's theory to non-orientable surfaces is this one by Papadop …
- 828
16
votes
1
answer
1k
views
Mapping class group and CAT(0) spaces
I hope the questions are not too vague.
Is the mapping class group of an orientable punctured surface $CAT(0)$ ?
Is any of the remarkable simplicial complexes (curve complex, arc complex...) built …
- 828