Twisted noncommutative equivariant cohomology: Weil and Cartan models
arXiv:0706.3602
Abstract
We propose Weil and Cartan models for the equivariant cohomology of noncommutative spaces which carry a covariant action of Drinfel'd twisted symmetries. The construction is suggested by the noncommutative Weil algebra of Alekseev and Meinrenken; we show that one can implement a Drinfel'd twist of their models in order to take into account the noncommutativity of the spaces we are acting on.
48 pages v3: several substantial changes and improvements