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Results tagged with heegaard-floer-homology
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user 5010
For questions about Heegaard-Floer homology (as introduced by Ozsváth-Szabó in 2003) and its uses in 3- and 4-dimensional topology.
8
votes
Accepted
Heegaard Floer homology of a genus two Heegaard splitting of $S^3$
There are several things going on here, explained rather elliptically in the paper. Let me expand.
First, there's the question of which holomorphic annuli double-cover the disk. More precisely, suppos …
- 10.1k
5
votes
Is there a version of Seiberg-Witten-Floer or Heegard-Floer homology for 3-manifolds with bo...
Andy Manion has already plugged our answer for Heegaard Floer homology. On the Seiberg-Witten side, not as much is known, but Tim Nguyen's thesis starts to attack the problem. However, there isn't a …
- 10.1k
10
votes
Accepted
Wanted: differential coming from higher genus surface in Heegaard Floer homology
Yes, $S \to \Sigma$ can fail to be an immersion. The failure is a branch point of the map $S \to \Sigma$, since it is (close to) a holomorphic map. This is fairly common as soon as the multiplicity …
- 10.1k