2008/09/12 by Alexander Caviedes, Caviedes, Alexander, Shengda Hu +3
Mathematics · #37K65 #55N91 #Advanced Operator Algebra Research #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #math.DG #msc:37K65 #msc:55N91
paper · pdf · doi:10.48550/arxiv.0809.2241
21 pages
arxiv created 2008/09/12 · openalex publication_date 2008/09/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We describe the Cartan and Weil models of twisted equivariant cohomology together with the Cartan homomorphism among the two, and we extend the Chern-Weil homomorphism to the twisted equivariant cohomology. We clarify that in order to have a cohomology theory, the coefficients of the twisted equivariant cohomology must be taken in the completed polynomial algebra over the dual Lie algebra of G. We recall the relation between the equivariant cohomology of exact Courant algebroids and the twisted equivariant cohomology, and we show how to endow with a generalized complex structure the finite dimensional approximations of the Borel construction M×G EGk, whenever the generalized complex manifold M possesses a Hamiltonian G action.