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arxiv: dg-ga/9602003 · v3 · submitted 1996-02-02 · dg-ga · math.DG

Seiberg-Witten-Floer Theory for Homology 3-Spheres

classification dg-ga math.DG
keywords homologyseiberg-witten-floergroupinvariantrelativeseiberg-wittenspherespheres
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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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