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arXiv · 1206.5466

Cohomology for almost Lie algebroids

Melchior Grützmann·Xiaomeng Xu
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Abstract

We give numerous examples of almost Lie algebroids arising as Dirac structures in pre-Courant algebroids, e.g. from twisted Poisson structures, as well as from twisted actions of a Lie algebra. We moreover define a cohomology for them, motivated by a Q-structure, that is trivial for (bundles of) Lie algebras but characterizes the underlying integrable distribution the image of the anchor map.

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Melchior Grützmann, Xiaomeng Xu. 2012-06-24. Cohomology for almost Lie algebroids. https://arxiv.org/abs/1206.5466

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