Seiberg-Witten-Floer Theory for Homology 3-Spheres
dg-ga
2008-02-03 v3 Differential Geometry
Abstract
We give the definition of the Seiberg-Witten-Floer homology group for a homology 3-sphere. Its Euler characteristic number is a Casson-type invariant. For a four-manifold with boundary a homology sphere, a relative Seiberg-Witten invariant is defined taking values in the Seiberg-Witten-Floer homology group, these relative Seiberg-Witten invariants are applied to certain homology spheres bounding Stein surfaces.
Keywords
Cite
@article{arxiv.dg-ga/9602003,
title = {Seiberg-Witten-Floer Theory for Homology 3-Spheres},
author = {Bai-Ling Wang},
journal= {arXiv preprint arXiv:dg-ga/9602003},
year = {2008}
}
Comments
LaTex; 30 pages, fix some LaTex problems, cut one subsection, update the relation with equivariant Seiberg-Witten-Floer homology and one application to Stein surface with boundary