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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.

5 votes

Heegaard Floer Homology of double branched cover

The paper of Manolescu and Owens "A concordance invariant from the floer homology of double branched covers" seems to answer your question. They compute many examples of the Froyshov/d-invariant in t …
Ryan Budney's user avatar
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11 votes

Why should I care about Heegaard-Floer theory?

The $d$ invariant coming from the rational grading can be seen as an enhancement of the torsion linking form on a rational homology $3$-sphere. Just like the regular torsion linking form of 3-manifol …
Ryan Budney's user avatar
  • 44.4k