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Results tagged with heegaard-floer-homology
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user 12310
For questions about Heegaard-Floer homology (as introduced by Ozsváth-Szabó in 2003) and its uses in 3- and 4-dimensional topology.
5
votes
Accepted
On Ozsváth and Szabó's branched covering description of holomorphic disks in symmetric products
They really mean to evaluate $\hat u$ on the $g$ points (with multiplicity) in $p^{-1}(z)$, so $u(z)=[\hat u(z_1),\ldots,\hat u(z_g)]$ where $p^{-1}(z)=\lbrace z_1,\ldots,z_g\rbrace$ (with possible re …
- 17.5k
3
votes
Is there a reasonable definition of TQFTs for n-cobordisms with connected inputs/outputs?
Katrin Wehrheim has this issue too for 2+1 dimensions; she's referred to it as "connected TFT" (at least in private communication). She and Chris Woodward are currently working on it (using Lagrangian …
- 17.5k
6
votes
Why should I care about Heegaard-Floer theory?
Taken from the introduction to A Tour of Bordered Floer Theory (by Lipshitz, Ozsvath, D. Thurston):
http://arxiv.org/pdf/1107.5621v1.pdf
Heegaard Floer homology, introduced in a series of papers of …