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Holomorphic disks and topological invariants for closed three-manifolds
Annals of Mathematics · 2004 · Vol. 159(3) · pp. 1027–1158
Peter Ozsváth✉(Columbia University)Zoltán Szabó(Princeton University)
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 .
Geometric and Algebraic TopologyHomotopy and Cohomology in Algebraic TopologyAdvanced Combinatorial MathematicsMathematicsFloer homologyHolomorphic functionLinear subspacePure mathematicsLagrangianHomology (biology)Gromov–Witten invariantProduct (mathematics)Topology (electrical circuits)
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