Timeline for Is there a version of Seiberg-Witten-Floer or Heegard-Floer homology for 3-manifolds with boundary?
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May 27, 2011 at 20:08 | vote | accept | Cheuk Hwang | ||
May 27, 2011 at 20:08 | |||||
May 27, 2011 at 1:43 | comment | added | Dylan Thurston | Also, we currently only have a bordered version of a relatively weak version of Heegaard Floer homology ($\widehat{HF}$). In particular, that version is not enough to recover the closed 4-manifold invariants, although it still gives interesting information about 3-manifolds. | |
May 27, 2011 at 1:36 | comment | added | Dylan Thurston | It's worth noting that the algebra $\mathcal{A}(F)$ is not arbitrary, but, as Auroux showed, is Morita equivalent to a version of the Fukaya category of $F$. See [front.math.ucdavis.edu/1001.4323]. | |
May 27, 2011 at 0:50 | history | answered | Andy Manion | CC BY-SA 3.0 |