Equivariant cohomology for differentiable stacks
Algebraic Topology
2020-11-03 v2 Differential Geometry
Abstract
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.
Cite
@article{arxiv.1912.00316,
title = {Equivariant cohomology for differentiable stacks},
author = {Luis Alejandro Barbosa-Torres and Frank Neumann},
journal= {arXiv preprint arXiv:1912.00316},
year = {2020}
}
Comments
24 pages. To appear in Journal of Geometry and Physics