Sum-integral interpolators and the Euler-Maclaurin formula for polytopes

DOI10.1090/S0002-9947-2012-05381-5zbMath1266.14040arXiv1002.3522OpenAlexW2962790829MaRDI QIDQ2884392

Stavros Garoufalidis, James E. Pommersheim

Publication date: 29 May 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.3522

zbMATH Keywords

exponential sumsflag varietieslattice polytopesEuler-MacLaurin formulainterpolators

Mathematics Subject Classification ID

Related Items (8)

An algebraic construction of sum-integral interpolators ⋮ Euler-Maclaurin summation formula on polytopes and expansions in multivariate Bernoulli polynomials ⋮ Conical zeta values and their double subdivision relations ⋮ Cycle-level products in equivariant cohomology of toric varieties ⋮ From orthocomplementations to locality ⋮ On the Todd class of the permutohedral variety ⋮ A conical approach to Laurent expansions for multivariate meromorphic germs with linear poles ⋮ An Euler-MacLaurin formula for polygonal sums

Cites Work

• Lattice invariant valuations on rational polytopes
• Pick's theorem and the Todd class of a toric variety
• Introduction to Toric Varieties. (AM-131)
• Points entiers dans les polyèdres convexes
• Cycle-Level Intersection Theory for Toric Varieties
• A Polynomial Time Algorithm for Counting Integral Points in Polyhedra When the Dimension is Fixed
• Cycles representing the Todd class of a toric variety
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