Seiberg-Witten theoretic invariants of lens spaces

Details Seiberg-Witten theoretic invariants of lens spaces Seiberg-Witten theoretic invariants of lens spaces

1999-01-18

arxiv.org/abs/math/9901071v1

Mathematics

Differential Geometry

LaTex 2e with amssymb, 43 pages, 4 figures

Scientific paper

We describe an effective algorithm for computing Seiberg-Witen invariants of lens spaces. We apply it to two problems: (i) to compute the Froyshov invariants of a large family of lens spaces; (ii) to show that the knowledge of the Seiberg-Witten invariants of lens spaces is topologically equivalent to the knowledge of its Casson-Walker invariant and of its Milnor-Turaev torsion. We also use the results in problem (i) to derive several topological results concerning the negative definite manifolds bounding a given lens space.

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