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math.QAOct 16, 2003
23
citations (OpenAlex)
authors
  • M. Pevzner
  • Ch. Torossian
institutions
  • Centre National de la Recherche Scientifique
  • Département de mathématiques et applications
  • École Normale Supérieure - PSL
  • Laboratoire de Mathématiques de Reims
arXiv abstractPDF
paper

Isomorphisme de Duflo et la cohomologie tangentielle

arXiv:math/0310128 · doi:10.1016/j.geomphys.2004.03.001

Abstract

In the present note we show that the Duflo isomorphism extends to an isomorphism of associative algebras of tangential cohomologies. This result confirms the B.Shoikhet's conjecture.

References in corpus (3)

  • Deformation quantization of Poisson manifolds, I
  • Sur la conjecture combinatoire de Kashiwara-Vergne
  • Tsygan formality and Duflo formula

Cited by in corpus (9)

  • On the Kashiwara-Vergne conjecture
  • An L∞​ algebra structure on polyvector fields
  • Compatibility with cap-products in Tsygan's formality and homological Duflo isomorphism
  • Formality and Kontsevich--Duflo type theorems for Lie pairs
  • Two-colored noncommutative Gerstenhaber formality and infinity Duflo isomorphism
  • Shoikhet's Conjecture and Duflo Isomorphism on (Co)Invariants
  • Hodge decomposition of string topology
  • Keller admissible triples and Duflo theorem
  • Tate-Shafarevich groups and algebras
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