Preprint

Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras

Xiaojun ChenYouming ChenChongqing University of TechnologyFarkhod EshmatovUzbekistan Academy of Sciences and AKFA University, Tashkent, UzbekistanSong YangTianjin University

arXiv (Cornell University)repository2017en

ABI

Annotatsiya

We study the noncommutative Poincaré duality between the Poisson homology and cohomology of unimodular Poisson algebras, and show that Kontsevich's deformation quantization as well as Koszul duality preserve the corresponding Poincaré duality. As a corollary, the Batalin-Vilkovisky algebra structures that naturally arise in these cases are all isomorphic.

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Mavzular

Algebraic structures and combinatorial models Homotopy and Cohomology in Algebraic Topology Advanced Topics in Algebra

Identifikatorlar

DOI: 10.48550/arxiv.1701.06112

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