Title	BV-algebra strucuture on Poisson cohomology
Creator	Wu, Quanshui
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-13T13:30
Description	Similar to the modular vector fields in Poisson geometry, modular derivations can be defined for smooth Poisson algebras with trivial canonical bundle. By twisting Poisson modules with the modular derivation, the Poisson cochain complex with values in any Poisson module is isomorphic to the Poisson chain complex with values in the corresponding twisted Poisson module. Then a version of twisted Poincar\'{e} duality is deduced between Poisson homologies and Poisson cohomologies. If the Poisson structure is pseudo-unimodular, then its Poisson cohomology as Gerstenhaber algebra is exact, that is, it has a Batalin-Vilkovisky algebra structure by using the isomorphism between the Poisson cochain complex and chain complex.
Extent	59 minutes
Subject	Mathematics; Associative rings and algebras; Algebraic geometry; Algebraic structures
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Fudan University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-03-15
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343182
URI	http://hdl.handle.net/2429/60895
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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BV-algebra strucuture on Poisson cohomology Wu, Quanshui

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