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Results tagged with sg.symplectic-geometry
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user 5010
Hamiltonian systems, symplectic flows, classical integrable systems
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
12
votes
Accepted
Maslov index and Heegard Floer homology
Robert Lipshitz has the nicest formula, described in Corollary 4.3 of this paper:
Robert Lipshitz, A cylindrical reformulation of Heegaard Floer homology, Geometry & Topology 10 (2006) 955–1096, DOI: …
- 10.1k