The index of geometric operators on Lie groupoids

DOI10.1016/j.indag.2014.07.014zbMath1300.22002arXiv1308.0236OpenAlexW2125039675MaRDI QIDQ743987

Markus J. Pflaum, Hessel Posthuma, Xiang Tang

Publication date: 2 October 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.0236

zbMATH Keywords

cohomologyDirac operatorsLie algebroidsLie groupoidscharacteristic classesindex theorem

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Topological groupoids (including differentiable and Lie groupoids) (22A22) Generalized geometries (à la Hitchin) (53D18)

Related Items (7)

Analysis on singular spaces: Lie manifolds and operator algebras ⋮ The Euler characteristic of a transitive Lie algebroid ⋮ Differentiable stratified groupoids and a de Rham theorem for inertia spaces ⋮ Holonomy transformations for singular foliations ⋮ The localized longitudinal index theorem for Lie groupoids and the Van Est map ⋮ Adiabatic groupoid and secondary invariants in K-theory ⋮ Spectral triples on proper étale groupoids

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