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.

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

References in corpus (4)

• Supergroupoids, double structures, and equivariant cohomology
• The Atiyah class of a dg-vector bundle
• $Q$-Manifolds and Mackenzie Theory
• Hochschild cohomology of dg manifolds associated to integrable distributions

Cited by in corpus (1)

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