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Cohomology for almost Lie algebroids

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.

preprint2012arXivOpen access
Melchior GrützmannXiaomeng Xu
math.DG
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Melchior GrützmannXiaomeng Xu

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