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arXiv · 0712.3021

Modular classes of Lie algebroid morphisms

Yvette Kosmann-Schwarzbach·Camille Laurent-Gengoux·Alan Weinstein
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Abstract

We study the behavior of the modular class of a Lie algebroid under general Lie algebroid morphisms by introducing the relative modular class. We investigate the modular classes of pull-back morphisms and of base-preserving morphisms associated to Lie algebroid extensions. We also define generalized morphisms, including Morita equivalences, that act on the 1-cohomology, and observe that the relative modular class is a coboundary on the category of Lie algebroids and generalized morphisms with values in the 1-cohomology.

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Yvette Kosmann-Schwarzbach, Camille Laurent-Gengoux, Alan Weinstein. 2008-04-18. Modular classes of Lie algebroid morphisms. https://arxiv.org/abs/0712.3021

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