Holomorphic disks and topological invariants for closed three-manifolds
2004/05/01 by Peter Ozsváth, Zoltán Szabó · 768 citations
Mathematics · #Advanced Combinatorial Mathematics #Combinatorics #Floer homology #Geometric and Algebraic Topology #Geometry #Gromov–Witten invariant #Holomorphic function #Homology (biology) #Homotopy and Cohomology in Algebraic Topology #Lagrangian #Linear subspace #Mathematics #Product (mathematics) #Pure mathematics #Symplectic geometry #Symplectic manifold #Topology (electrical circuits)
paper · pdf · doi:10.4007/annals.2004.159.1027
published in Annals of Mathematics 159(3), 1027-1158 (Princeton University)
openalex publication_date 2004/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/14
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 = U 0 U 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 U 0 and U 1 .
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