Equivariant and Bott-type Seiberg-Witten Floer Homology: Part II

Details Equivariant and Bott-type Seiberg-Witten Floer Homology: Part II Equivariant and Bott-type Seiberg-Witten Floer Homology: Part II

1999-01-15

arxiv.org/abs/math/9901059v2

Mathematics

Geometric Topology

41 pages

Scientific paper

We construct equivariant and Bott-type Seiberg-Witten Floer homology and cohomology for 3-manifolds, in particular rational homology spheres, and prove their diffeomorphism invariance. We present several versions of the equivariant theory: the singular version, the de Rham version and the Cartan version, with the first playing the most important role. These versions are shown to be equivalent to each other. A few typos are removed.

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