English

Twisted noncommutative equivariant cohomology: Weil and Cartan models

Quantum Algebra 2009-01-13 v3 High Energy Physics - Theory Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.0706.3602,
  title  = {Twisted noncommutative equivariant cohomology: Weil and Cartan models},
  author = {Lucio Cirio},
  journal= {arXiv preprint arXiv:0706.3602},
  year   = {2009}
}

Comments

48 pages v3: several substantial changes and improvements