BV Algebras with Applications to Lie Bialgebras and Poisson Cohomology

Published 3 Jun 2023 in math.QA, math.DG, math.KT, and math.RA | (2306.02004v1)

Abstract: By using algebraic tools from differential Gerstenhaber algebras and Batalin-Vilkobisky algebras, we provide a new perspective on the modular class in Poisson geometry and the intrinsic biderivation of a Lie bialgebra. Furthermore, applications to Lie bialgebra cohomology and Poisson cohomology are given.

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