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Results tagged with gn.general-topology
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user 428
Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.
2
votes
Legendrian homotopy of curves in a contact structure?
I don't have a general answer, but for the standard tight contact structure \xi on R^3, see "A contact geometric proof of the Whitney-Graustein Theorem" by Geiges (arXiv:0801.0046). Proposition 4 say …
- 6,589
75
votes
Accepted
Cohomology and fundamental classes
Rene Thom answered this in section II of "Quelques propriétés globales des variétés différentiables." Every class $x$ in $H_r(X; \mathbb Z)$ has some integral multiple $nx$ which is the fundamental c …
- 6,589
16
votes
Accepted
What is Floer homology of a knot?
I can say something about this for Heegaard Floer homology. Given a 3-manifold Y, you can take a Heegaard splitting, i.e. a decomposition of Y into two genus g handlebodies joined along their boundar …
- 6,589