Poisson cohomology, Koszul duality, and Batalin–Vilkovisky algebras
Xiaojun ChenSichuan University, Chengdu, ChinaYouming ChenChongqing University of Technology, ChinaFarkhod EshmatovUzbekistan Academy of Sciences and AKFA University, Tashkent, UzbekistanSong YangTianjin University, China
ABI
Аннотация
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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