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arXiv · 1808.03116

Almost Lie Algebroids and Characteristic Classes

Marcela Popescu·Paul Popescu
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Abstract

Almost Lie algebroids are generalizations of Lie algebroids, when the Jacobiator is not necessary null. A simple example is given, for which a Lie algebroid bracket or a Courant bundle is not possible for the given anchor, but a natural extension of the bundle and the new anchor allows a Lie algebroid bracket. A cohomology and related characteristic classes of an almost Lie algebroid are also constructed. We prove that these characteristic classes are all pull-backs of the characteristic classes of the base space, as in the case of a Lie algebroid.

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Marcela Popescu, Paul Popescu. 2018-08-09. Almost Lie Algebroids and Characteristic Classes. https://doi.org/10.3842/sigma.2019.021

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