Heegaard Splittings and Seiberg-Witten monopoles
Geometric Topology
2007-05-23 v2 Differential Geometry
Symplectic Geometry
Abstract
This is an expansion on my talk at the Geometry and Topology conference at McMaster University, May 2004. We outline a program to relate the Heegaard Floer homologies of Ozsvath-Szabo, and Seiberg-Witten-Floer homologies as defined by Kronheimer-Mrowka. The center-piece of this program is the construction of an intermediate version of Floer theory, which exhibits characteristics of both theories.
Keywords
Cite
@article{arxiv.math/0409536,
title = {Heegaard Splittings and Seiberg-Witten monopoles},
author = {Yi-Jen Lee},
journal= {arXiv preprint arXiv:math/0409536},
year = {2007}
}
Comments
30 pages. typos corrected and minor clarification in section 3.1