BV formality

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2017Embargo end date: 01 Jan 2015 English Publisher:Elsevier BVJournal:Advances in Mathematics, volume 306, pages 807-851 (issn: 0001-8708,

Copyright policy )Funded by:SNSF | Graphical Models, Quantiz...

Authors: Campos, Ricardo;

doi: 10.1016/j.aim.2016.10.034 , 10.48550/arxiv.1506.07715

arXiv: 1506.07715

BV formality

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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.

38 pages

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Keywords

operads, deformation quantization, Kontsevich formality, Mathematics - Quantum Algebra, BV algebras, FOS: Mathematics, Operads, Quantum Algebra (math.QA), [MATH.MATH-OA] Mathematics [math]/Operator Algebras [math.OA]

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