Front: [math.SG/0101206] Holomorphic disks and topological invariants for closed three-manifolds

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math.SG/0101206

Title: Holomorphic disks and topological invariants for closed three-manifolds
Authors: Peter Ozsvath, Zoltan Szabo
Categories: math.SG Symplectic Geometry (math.DG Differential Geometry; math.GT Geometric Topology)
Comments: 118 pages, 10 figures, to appear in Annals of Mathematics. Reorganized both this paper and its sequel: the first paper now gives the definitions for closed, oriented three-manifolds. Properties and examples are given in the second paper

Abstract: The aim of this article is to introduce and study certain topological invariants for closed, oriented three-manifolds Y. These groups are relatively Z-graded Abelian groups associated to SpinC structures over Y. Given a genus g Heegaard splitting of Y, these theories are variants of the Lagrangian Floer homology for the g-fold symmetric product of the surface relative to certain totally real subspaces associated to the handlebodies.

Owner: Peter Steven Ozsvath
Version 1: Thu, 25 Jan 2001 04:49:51 GMT
Version 2: Tue, 16 Oct 2001 19:50:38 GMT
Version 3: Tue, 24 Sep 2002 18:40:23 GMT
Version 4: Tue, 11 Mar 2003 20:09:00 GMT

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