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arxiv: math/0512475 · v2 · submitted 2005-12-20 · 🧮 math.CO · math.SG

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

classification 🧮 math.CO math.SG
keywords decompositionseuler-maclaurinformulaspolytopessimpleapplicationcohomologydescribed
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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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