Holomorphic disks and topological invariants for closed three-manifolds

Details Holomorphic disks and topological invariants for closed three-manifolds Holomorphic disks and topological invariants for closed three-manifolds

2001-01-25

arxiv.org/abs/math/0101206v4

Mathematics

Symplectic Geometry

118 pages, 10 figures, to appear in Annals of Mathematics. Reorganized both this paper and its sequel: the first paper now giv

Scientific paper

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.

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