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

Jose Agapito·Leonor Godinho
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Abstract

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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Jose Agapito, Leonor Godinho. 2006-02-14. New polytope decompositions and Euler-Maclaurin formulas for simple integral polytopes. https://arxiv.org/abs/math/0512475

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