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

Liviu I. Nicolaescu
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Abstract

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.

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Liviu I. Nicolaescu. 1998-01-07. Lattice points, Dedekind-Rademacher sums and a conjecture of Kronheimer and Mrowka. https://arxiv.org/abs/math/9801030

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