Holomorphic triangles and invariants for smooth four-manifolds

@article{Ozsvath2001HolomorphicTA,
  title={Holomorphic triangles and invariants for smooth four-manifolds},
  author={Peter S. Ozsvath and Zolt{\'a}n Imre Szab{\'o}},
  journal={Advances in Mathematics},
  year={2001},
  volume={202},
  pages={326-400}
}
Abstract In earlier articles, the authors introduced invariants for closed, oriented three-manifolds, defined using a variant of Lagrangian Floer homology in the symmetric products of Riemann surfaces. The aim of this article is to introduce invariants of oriented, smooth four-manifolds, built using these Floer homology groups. This four-dimensional theory also endows the corresponding three-dimensional theories with additional structure: an absolute grading of certain of its Floer homology… 

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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
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The aim of this article is to introduce and study certain topological invariants for oriented, rational homology three-spheres Y. These groups are relatively Z-graded Abelian groups associated to
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This article analyzes the interplay between symplectic geometry in dimension four and the invariants for smooth four-manifolds constructed using holomorphic triangles introduced in math.SG/0110169.
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