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Courant cohomology, Cartan calculus, connections, curvature, characteristic classes
by
Rajan Amit Mehta
, Cueca, Miquel
in
Calculus
/ Homology
2020
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Courant cohomology, Cartan calculus, connections, curvature, characteristic classes
by
Rajan Amit Mehta
, Cueca, Miquel
in
Calculus
/ Homology
2020
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Courant cohomology, Cartan calculus, connections, curvature, characteristic classes
Paper
Courant cohomology, Cartan calculus, connections, curvature, characteristic classes
2020
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Overview
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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