# Holomorphic Disks and Topological Invariants for Rational Homology Three-spheres

@inproceedings{Szab2001HolomorphicDA, title={Holomorphic Disks and Topological Invariants for Rational Homology Three-spheres}, author={Zolt{\'a}n Szab{\'o}}, year={2001} }

- Published 2001

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 Spin C structures over Y. Given a Heegaard splitting of Y = U 0 ∪ 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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