New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes

Details New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes

2005-12-20

arxiv.org/abs/math/0512475v2

Mathematics

Combinatorics

Revision: changed content of last theorem; corrected typos

Scientific paper

We use a version of localization in equivariant cohomology for the
norm-square of the moment map, described by Paradan, to give several weighted
decompositions for simple polytopes. As an application, we study
Euler-Maclaurin formulas.

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