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

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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.
Revision: changed content of last theorem; corrected typos

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Combinatorics, Symplectic Geometry, 52B; 65B15; 53D20; 55N91

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http://salesiana.dossiersoluciones.com/handle/123456789/106324

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512475
 http://arxiv.org/abs/math/0512475

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arXiv