arXiv subjects

Jose Agapito

Publications and source records attributed to Jose Agapito.

2 recordsLinked to original sources

arXiv2006

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

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.

math.CO↗

arXiv2004

The Weighted Euler-Maclaurin Formula for a simple integral polytope

We give an Euler-Maclaurin formula with remainder for the weighted sum of the values of a smooth function on the integral points in a simple integral polytope. Our work generalizes the formula obtained by Karshon, Sternberg and Weitsman in the ''Euler-Maclaurin with remainder for a simple integral polytope''.

math.CO↗