# 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…

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