Holomorphic disks and topological invariants for closed three-manifolds

  title={Holomorphic disks and topological invariants for closed three-manifolds},
  author={Peter S. Ozsvath and Zolt{\'a}n Imre Szab{\'o}},
  journal={Annals of Mathematics},
The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spiny structure. Given a Heegaard splitting of Y = U 0o U Σ U 1 , these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of Σ relative to certain totally real subspaces associated to U 0 and U 1 . 

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