Equivariant cohomology for differentiable stacks

JOURNAL OF GEOMETRY AND PHYSICS

卷:160

Article

Barbosa-Torres, Luis Alejandro¹  Neumann, Frank¹ 

[1] Univ Leicester, Pure Math Grp, Sch Math & Actuarial Sci, Univ Rd, Leicester LE1 7RH, Leics, England

关键词: Differentiable stacks;    de Rham cohomology;    Equivariant cohomology;   

DOI  :  10.1016/j.geomphys.2020.103974

来源: Elsevier

【 摘 要 】

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. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free