TL;DR
This paper proves a stronger version of the Kontsevich Formality Theorem specifically for orientable manifolds, establishing a deep algebraic relationship between multivector fields and multidifferential operators.
Contribution
It extends the Kontsevich Formality Theorem to a broader context by relating BV algebras and homotopy BV algebras on orientable manifolds.
Findings
Establishment of a stronger form of the Kontsevich Formality Theorem for orientable manifolds
Identification of the BV algebra structure on multivector fields
Connection between BV and homotopy BV algebra structures on multidifferential operators
Abstract
We prove a stronger version of the Kontsevich Formality Theorem for orientable manifolds, relating the Batalin-Vilkovisky (BV) algebra of multivector fields and the homotopy BV algebra of multidifferential operators of the manifold.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Nonlinear Waves and Solitons