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Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids

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arxiv 2002.10175 v4 pith:77AJ6PFL submitted 2020-02-24 math.DG

Panagiotis Batakidis , Fani Petalidou This is my paper
classification math.DG
keywords algebraconnectionsbundlecomplexcourantcourant-dorfmandifferentialdorfman
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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.

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    hep-th 2025-09 conditional novelty 6.0 of 10

    A systematic Cartan-geometric construction of linearised torsion and curvature hierarchies for generalised geometries with global duality group G and local gauge group H, realised via brane current algebras.

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