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Equivariant cohomology of differentiable stacks
journal contributionposted 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.
CitationJournal of Geometry and Physics Volume 160, February 2021, 103974
Author affiliationSchool of Mathematics and Actuarial Science, Pure Mathematics Group
- AM (Accepted Manuscript)