Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras
Mathematical Physics
2019-02-27 v3 math.MP
Rings and Algebras
Symplectic Geometry
Abstract
We study the noncommutative Poincar\'e 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 Poincar\'e duality. As a corollary, the Batalin-Vilkovisky algebra structures that naturally arise in these cases are all isomorphic.
Keywords
Cite
@article{arxiv.1701.06112,
title = {Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras},
author = {Xiaojun Chen and Youming Chen and Farkhod Eshmatov and Song Yang},
journal= {arXiv preprint arXiv:1701.06112},
year = {2019}
}
Comments
27 pages. Revised version