Quasi-Lie bialgebroids and twisted Poisson manifolds

Abstract

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 Severa and Weinstein using a different method.

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