The volume of a differentiable stack

DOI10.1007/s11005-009-0343-2zbMath1185.58007arXiv0809.2130OpenAlexW3099977336MaRDI QIDQ844118

Alan Weinstein

Publication date: 18 January 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2130

zbMATH Keywords

Lie groupoidmodular classdifferentiable stack

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Pseudogroups and differentiable groupoids (58H05)

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Cites Work

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• The Lefschetz trace formula for algebraic stacks
• The Maslov gerbe
• Differentiable stacks and gerbes
• Modular classes of Lie algebroid morphisms
• The Novikov conjecture for hyperbolic foliations
• Lectures on the geometry of Poisson manifolds
• Differentiable and algebroid cohomology, Van Est isomorphisms, and characteristic classes
• Proper groupoids and momentum maps: Linearization, affinity, and convexity
• LINEARIZATION OF REGULAR PROPER GROUPOIDS
• A Lefschetz trace formula for equivariant cohomology
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• Poisson geometry of discrete series orbits, and momentum convexity for noncompact group actions

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