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Lie Algebroids, Holonomy and Characteristic Classes

Rui Loja Fernandes
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Abstract

We extend the notion of connection in order to be able to study singular geometric structures, namely, we consider a notion of connection on a Lie algebroid which is a natural extension of the usual concept of connection. Using connections, we are able to define holonomy of the orbit foliation of a Lie algebroid and prove a stability theorem. We also introduce secondary or exotic characteristic classes that generalize the modular class of a Lie algebroid.

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Rui Loja Fernandes. 2001-12-11. Lie Algebroids, Holonomy and Characteristic Classes. https://arxiv.org/abs/math/0007132

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