Holomorphic disks and topological invariants for closed three-manifolds

Peter Ozsváth; Zoltán Szabó

doi:10.4007/annals.2004.159.1027

Holomorphic disks and topological invariants for closed three-manifolds

Peter Ozsváth, Zoltán Szabó

Mathematics

Research output: Contribution to journal › Article › peer-review

421 Scopus citations

Abstract

The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spin^c structure. Given a Heegaard splitting of Y = U₀ _∑⊃ ₁, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product ∑ of relative to certain totally real subspaces associated to U₀ and U₁.

Original language	English (US)
Pages (from-to)	1027-1158
Number of pages	132
Journal	Annals of Mathematics
Volume	159
Issue number	3
DOIs	https://doi.org/10.4007/annals.2004.159.1027
State	Published - May 2004

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.4007/annals.2004.159.1027

Cite this

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abstract = "The aim of this article is to introduce certain topological invariants for closed, oriented three-manifolds Y, equipped with a Spinc structure. Given a Heegaard splitting of Y = U0 ∑⊃ 1, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product ∑ of relative to certain totally real subspaces associated to U0 and U1.",

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Holomorphic disks and topological invariants for closed three-manifolds

Abstract

All Science Journal Classification (ASJC) codes

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