L∞-interpretation of a classification of deformations of Poisson structures in dimension three

Anne Pichereau

A chapter in Deformation Spaces, 2010, pp 143-173 from Springer

Abstract: Abstract We give an L ∞-interpretation of the classification, obtained in [17], of the formal deformations of a family of exact Poisson structures in dimension three. We indeed reobtain the explicit formulas for all the formal deformations of these Poisson structures, together with a classification in the generic case, by constructing a suitable quasi-isomorphism between two L ∞-algebras, which are associated to these Poisson structures.

Keywords: Poisson Bracket; Poisson Structure; Algebra Structure; Poisson Algebra; Poisson Manifold (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-8348-9680-3_7

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DOI: 10.1007/978-3-8348-9680-3_7

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