Seiberg-Witten-Floer Theory for Homology 3-Spheres

Details Seiberg-Witten-Floer Theory for Homology 3-Spheres Seiberg-Witten-Floer Theory for Homology 3-Spheres

1996-02-02

arxiv.org/abs/dg-ga/9602003v3

Mathematics

Differential Geometry

LaTex; 30 pages, fix some LaTex problems, cut one subsection, update the relation with equivariant Seiberg-Witten-Floer homolo

Scientific paper

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.

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