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Equivariant cohomology of differentiable stacks

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journal contribution
posted on 2020-11-04, 11:51 authored by Frank Neumann, Luis Alejandro Barbosa-Torres
We construct and analyse models of equivariant cohomology for differentiable stacks with Lie group actions extending classical results for smooth manifolds due to Borel, Cartan and Getzler. We also derive various spectral sequences for the equivariant cohomology of a differentiable stack generalising among others Bott’s spectral sequence which converges to the cohomology of the classifying space of a Lie group.

History

Citation

Journal of Geometry and Physics Volume 160, February 2021, 103974

Author affiliation

School of Mathematics and Actuarial Science, Pure Mathematics Group

Version

  • AM (Accepted Manuscript)

Published in

Journal of Geometry and Physics

Volume

160

Publisher

Elsevier

issn

0393-0440

Copyright date

2020

Available date

2021-10-19

Language

en

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