Equivariant cohomology for differentiable stacks

Autor:	Barbosa-Torres, Luis Alejandro, Neumann, Frank
Rok vydání:	2019
Předmět:	Mathematics - Algebraic Topology Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: 24 pages. To appear in Journal of Geometry and Physics
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1912.00316 Zobrazit plný text záznamu View this record from Arxiv