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Homology and modular classes of Lie algebroids

Janusz Grabowski·Giuseppe Marmo·Peter W. Michor
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Abstract

For a Lie algebroid, divergences chosen in a classical way lead to a uniquely defined homology theory. They define also, in a natural way, modular classes of certain Lie algebroid morphisms. This approach, applied for the anchor map, recovers the concept of modular class due to S. Evans, J.-H. Lu, and A. Weinstein.

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Janusz Grabowski, Giuseppe Marmo, Peter W. Michor. 2005-03-24. Homology and modular classes of Lie algebroids. https://arxiv.org/abs/math/0310072

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