Heegaard diagrams and holomorphic disks
Geometric Topology
2007-05-23 v1 Symplectic Geometry
Abstract
A three-manifold equipped with a Heegaard diagram can be used to set up a Floer homology theory whose differential counts pseudo-holomorphic disks in the -fold symmetric product of the Heegaard surface. This leads to a topological invariant for three-manifolds, Heegaard Floer homology, which is functorial under cobordisms. In this survey article, we sketch this construction and describe some of its topological applications.
Cite
@article{arxiv.math/0403029,
title = {Heegaard diagrams and holomorphic disks},
author = {Peter Ozsvath and Zoltan Szabo},
journal= {arXiv preprint arXiv:math/0403029},
year = {2007}
}
Comments
41 pages, 10 figures