Exact Gerstenhaber Algebras and Lie Bialgebroids

Y. Kosmann-Schwarzbach ()
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Y. Kosmann-Schwarzbach: Centre de Mathématiques

A chapter in Geometric and Algebraic Structures in Differential Equations, 1995, pp 153-165 from Springer

Abstract: Abstract We show that to any Poisson manifold and, more generally, to any triangular Lie bialge-broid in the sense of Mackenzie and Xu, there correspond two differential Gerstenhaber algebras in duality, one of which is canonically equipped with an operator generating the graded Lie algebra bracket, i.e. with the structure of a Batalin-Vilkovisky algebra.

Keywords: Poisson Structure; Poisson Manifold; Topological Field Theory; Schouten Bracket; Gerstenhaber Algebra (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0179-7_10

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DOI: 10.1007/978-94-009-0179-7_10

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