Chern-Weil homomorphism in twisted equivariant cohomology

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dc.creatorCaviedes, Alexander
dc.creatorHu, Shengda
dc.creatorUribe, Bernardo
dc.date2008-09-12
dc.date.accessioned2026-07-07T10:02:34Z
dc.date.available2026-07-07T10:02:34Z
dc.descriptionWe 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 $M\times_G EG_k$, whenever the generalized complex manifold $M$ possesses a Hamiltonian $G$ action.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0809.2241
dc.identifierhttp://arxiv.org/abs/0809.2241
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169016
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject55N91, 37K65
dc.titleChern-Weil homomorphism in twisted equivariant cohomology
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