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For questions about Heegaard-Floer homology (as introduced by Ozsváth-Szabó in 2003) and its uses in 3- and 4-dimensional topology.
1
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Decorations in Szabo's combinatorial spectral sequence
I'm pretty sure those orientations on arcs correspond to an orientation of the surgery link in the construction of Ozsvath-Szabo's original spectral sequence from Khovanov homology to HF of the branch …
10
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Is there a version of Seiberg-Witten-Floer or Heegard-Floer homology for 3-manifolds with bo...
Lipshitz, Ozsváth, and Thurston have a version of Heegaard Floer homology for 3-manifolds with boundary, which they call bordered Floer homology. To a surface F (with some additional data), it associa …