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Twisted noncommutative equivariant cohomology: Weil and Cartan models

2007/06/25 by Lucio Cirio, Cirio, Lucio
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.QA

paper · pdf · doi:10.48550/arxiv.0706.3602

48 pages v3: several substantial changes and improvements

arxiv created 2009/01/13 · arxiv updated 2009/12/01

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.

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