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arxiv: math/0112152 · v2 · submitted 2001-12-17 · 🧮 math.QA · math-ph· math.MP· math.SG

Quasi-Lie bialgebroids and twisted Poisson manifolds

classification 🧮 math.QA math-phmath.MPmath.SG
keywords quasi-liebialgebroidspoissontheorytwistedappearedapproachbackground
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We develop a theory of quasi-Lie bialgebroids using a homological approach. This notion is a generalization of quasi-Lie bialgebras, as well as twisted Poisson structures with a 3-form background which have recently appeared in the context of string theory, and were studied by \v{S}evera and Weinstein using a different method.

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  1. Hamilton Lie algebroids over Dirac structures and sigma models

    math.DG 2023-09 unverdicted novelty 6.0

    Introduces Hamiltonian Lie algebroids over Dirac structures as a generalization and applies them to construct gauged Poisson and Dirac sigma models.