Paradan's wall crossing formula for partition functions and Khovanski-Pukhlikov differential operator

DOI10.5802/aif.2475zbMath1186.52006arXiv0803.2810OpenAlexW2963392908MaRDI QIDQ1041265

Arzu Boysal, Michèle Vergne

Publication date: 2 December 2009

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2810

zbMATH Keywords

toric varietiespolytopes

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items (7)

The decomposition formula for Verlinde sums ⋮ Vector partition functions and generalized Dahmen and Micchelli spaces ⋮ Multiple Bernoulli series, an Euler-Maclaurin formula, and wall crossings ⋮ Eigenvalue distributions of reduced density matrices ⋮ Some unexpected properties of Littlewood-Richardson coefficients ⋮ Duistermaat–Heckman measure and the mixture of quantum states ⋮ Splines, lattice points, and arithmetic matroids

Cites Work

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• Vector partition functions and generalized Dahmen and Micchelli spaces
• Topics in hyperplane arrangements, polytopes and box-splines
• Residue formulae for vector partitions and Euler-Maclaurin sums.
• Counting integer flows in networks
• Volume computation for polytopes and partition functions for classical root systems
• The Number of Solutions to Linear Diophantine Equations and Multivariate Splines
• Residue formulae, vector partition functions and lattice points in rational polytopes

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