Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids
arXiv:2002.10175 · doi:10.1016/j.geomphys.2024.105142
Abstract
We construct an algebra and a complex of multidifferential operators on tensor products of a Courant algebroid E with values in the endomorphism bundle of a smooth vector bundle B, predual of E, extending the standard complex of the Courant-Dorfman algebra of E. Also, we study Dorfman connections of E on B, and show that the Cartan calculus, curvatures of induced connections and basic differential geometric identities of them make sense in this algebra.
The latter version was split, this is the final form of the first part with some additions