Twisted noncommutative equivariant cohomology: Weil and Cartan models

Details Twisted noncommutative equivariant cohomology: Weil and Cartan models Twisted noncommutative equivariant cohomology: Weil and Cartan models

2007-06-25

arxiv.org/abs/0706.3602v3

Mathematics

Quantum Algebra

48 pages v3: several substantial changes and improvements

Scientific paper

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.

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