Criteria for Hattori-Masuda multi-polytopes via Duistermaat-Heckman functions and winding numbers

DOI10.1515/advgeom-2017-0023zbMath1396.57042OpenAlexW2624855569MaRDI QIDQ1653984

Y. Aharonov

Publication date: 7 August 2018

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2017-0023

zbMATH Keywords

polytopesEhrhart polynomialswinding numbersDuistermaat-Heckman functionsgeneralized Pick formulageneralized twelve-point formulamulti-polytopes

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Compact Lie groups of differentiable transformations (57S15) Characteristic classes and numbers in differential topology (57R20)

Cites Work

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• Unitary toric manifolds, multi-fans and equivariant index
• The moment map and line bundles over presymplectic toric manifolds
• Equivariant index and the moment map for completely integrable torus actions
• Theory of multi-fans
• Introduction to Toric Varieties. (AM-131)
• Lattice points in simple polytopes
• Topological toric manifolds

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