Abstract
We show how the intrinsic characteristic classes of Lie algebroids can be seen as characteristic classes of representations. We present two alternative ways: The first one consists of thinking of the adjoint representation as a connection up to homotopy. The second one is by viewing the adjoint representation as a honest representation on the first jet bundle of a Lie algebroid.
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Crainic, M., Fernandes, R. Secondary Characteristic Classes of Lie Algebroids. In: Carow-Watamura, U., Maeda, Y., Watamura, S. (eds) Quantum Field Theory and Noncommutative Geometry. Lecture Notes in Physics, vol 662. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11342786_9
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DOI: https://doi.org/10.1007/11342786_9
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