Holomorphic disks and three-manifold invariants: Properties and applications

@article{Ozsvath2001HolomorphicDA,
  title={Holomorphic disks and three-manifold invariants: Properties and applications},
  author={Peter S. Ozsvath and Zolt{\'a}n Imre Szab{\'o}},
  journal={Annals of Mathematics},
  year={2001},
  volume={159},
  pages={1159-1245}
}
In [27], we introduced Floer homology theories HF - (Y,s), HF∞(Y,s), HF + (Y, t), HF(Y,s),and HF red (Y, s) associated to closed, oriented three-manifolds Y equipped with a Spiny structures s ∈ Spin c (Y). In the present paper, we give calculations and study the properties of these invariants. The calculations suggest a conjectured relationship with Seiberg-Witten theory. The properties include a relationship between the Euler characteristics of HF ± and Turaev's torsion, a relationship with… Expand
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