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Generically Dependent Continuant
RDF description of Quillen superconnections and connections on supermanifolds - http://orbis.uaslp.mx/vivo/individual/scopus1709
Given a supervector bundle E = E0 ⊕ E1 → M, we exhibit a parametrization of Quillen superconnections on E by graded connections on the Cartan-Koszul supermanifold (M, Ω (M)) The relation between the curvatures of both kind of connections, and their associated Chern classes, is discussed in detail. In particular, we find that Chern classes for graded vector bundles on split supermanifolds can be computed through the associated Quillen superconnections. © 2014 Elsevier B.V.
Chern classes; Graded connections; Superconnections; Supermanifolds
Quillen superconnections and connections on supermanifolds
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Ministerio de Ciencia e Innovación, MICINN: MTM2012-33073