Seiberg-Witten Theoretic Invariants of Lens Spaces
نویسنده
چکیده
We describe an effective algorithm for computing Seiberg-Witten 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 a lens space is topologically equivalent to the knowledge of its Casson-Walker invariant and of its MilnorTuraev torsion. Problem (i) has several interesting topological consequences concerning the negative definite manifolds bounding a given lens space.
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تاریخ انتشار 2008