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arXiv · 1005.5680

H-twisted Lie algebroids

Melchior Grutzmann
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Abstract

We define a new kind of algebroid which fulfills a Leibniz rule, a Jacobi identity twisted by a 3-form $H$ with values in the kernel of the anchor map, and the twist is closed under a naturally occurring exterior covariant derivative. We give examples and define three kinds of cohomology two via realization as Q-structure on graded manifolds. This classifies PQ3-manifolds.

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Melchior Grutzmann. 2010-05-31. H-twisted Lie algebroids. https://doi.org/10.1016/j.geomphys.2010.10.016

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