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Results tagged with gt.geometric-topology
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user 6325
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).
22
votes
Are there any very hard unknots?
I did not see any mention of this paper by Marc Lackenby, probably because the question is quite old :
Lackenby, Marc, A polynomial upper bound on Reidemeister moves, Ann. Math. (2) 182, No. 2, 491-56 …
13
votes
A simple closed curve on a surface
There are multiple ways, depending on what your goal is.
From an algorithmic point of view, if you are given a triangulation of the surface, normal curves are a very efficient way to describe a simp …
- 13.6k