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

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

1998-01-07

arxiv.org/abs/math/9801030v1

Mathematics

Differential Geometry

17 pages, Latex 2.09 with macro sec.sty (included)

Scientific paper

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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