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

Mathematics

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

490 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

Mathematics (miscellaneous)

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10.4007/annals.2004.159.1027

Cite this

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title = "Holomorphic disks and topological invariants for closed three-manifolds",

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.",

author = "Peter Ozsv{\'a}th and Zolt{\'a}n Szab{\'o}",

year = "2004",

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AU - Szabó, Zoltán

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AB - 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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DO - 10.4007/annals.2004.159.1027

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EP - 1158

JO - Annals of Mathematics

JF - Annals of Mathematics

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Holomorphic disks and topological invariants for closed three-manifolds

Abstract

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