Lattice points, Dedekind-Rademacher sums and a conjecture of Kronheimer and Mrowka

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We express the number of lattice points inside certain simplices via Dedekind-Rademacher sums. As an application, we prove a conjecture of Kronheimer and Mrowka in the special case of Brieskorn spheres (with at most 4 singular fibers). This conjecture relates the Euler characteristic of the Seiberg-Witten-Floer homology to the Casson invariant.
17 pages, Latex 2.09 with macro sec.sty (included)

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Differential Geometry, Number Theory, 58E15; 57M50; 11A99

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http://salesiana.dossiersoluciones.com/handle/123456789/76469

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9801030
 http://arxiv.org/abs/math/9801030

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arXiv