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arXiv · 1911.05898

Courant cohomology, Cartan calculus, connections, curvature, characteristic classes

Miquel Cueca·Rajan Amit Mehta
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Abstract

We give an explicit description, in terms of bracket, anchor, and pairing, of the standard cochain complex associated to a Courant algebroid. In this formulation, the differential satisfies a formula that is formally identical to the Cartan formula for the de Rham differential. This perspective allows us to develop the theory of Courant algebroid connections in a way that mirrors the classical theory of connections. Using a special class of connections, we construct secondary characteristic classes associated to any Courant algebroid.

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Miquel Cueca, Rajan Amit Mehta. 2019-11-14. Courant cohomology, Cartan calculus, connections, curvature, characteristic classes. https://doi.org/10.1007/s00220-020-03894-y

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