文献类型：会议论文

英文题名：Twisted Poincare duality between Poisson homology and Poisson cohomology

作者：Luo, J.[1];Wang, S. -Q.[2];Wu, Q. -S.[1]

机构：[1]Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China;[2]E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

会议论文集：3rd International Symposium on Groups, Algebras and Related Topics

会议日期：JUN 10-16, 2013

会议地点：Beijing, PEOPLES R CHINA

语种：英文

外文关键词：Poisson algebras; Poisson (co)homology; Modular class; Poincare duality

摘要：A version of the twisted Poincare duality is proved between the Poisson homology and cohomology of a polynomial Poisson algebra with values in an arbitrary Poisson module. The duality is achieved by twisting the Poisson module structure in a canonical way, which is constructed from the modular derivation. In the case that the Poisson structure is unimodular, the twisted Poincare duality reduces to the Poincare duality in usual sense. The main result generalizes the work of Launois and Richard [8] for the quadratic Poisson structures and Zhu [25] for the linear Poisson structures. (C) 2014 Elsevier Inc. All rights reserved.