Keller admissible triples and Duflo theorem

Abstract

The present paper is devoted to the study of Keller admissible triples. We prove that a Keller admissible triple induces an isomorphism of Gerstenhaber algebras between the Hochschild cohomologies of direct-sum type of the pair of differential graded algebras bound to one another by the admissible triple. As an application, we give a new concrete proof of the Duflo--Kontsevich theorem for finite-dimensional Lie algebras.

arXiv comment37 pages. Updated references. Fix typos. To appear in Journal de Mathématiques Pures et Appliquées

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Cited by in corpus (1)

• Atiyah classes and Todd classes of pullback dg Lie algebroids associated with Lie pairs