Superconnections and Parallel Transport

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dc.creatorDumitrescu, Florin
dc.date2007-11-18
dc.date2007-11-21
dc.date.accessioned2026-07-07T08:43:54Z
dc.date.available2026-07-07T08:43:54Z
dc.descriptionThis note addresses the construction of a notion of parallel transport along superpaths arising from the concept of a superconnection on a vector bundle over a manifold $M$. A superpath in $M$ is, loosely speaking, a path in $M$ together with an odd vector field in $M$ along the path. We also develop a notion of parallel transport associated with a connection (a.k.a. covariant derivative) on a vector bundle over a \emph{supermanifold} which is a direct generalization of the classical notion of parallel transport for connections over manifolds.
dc.description27 pages; added references
dc.identifierhttps://arxiv.org/abs/0711.2766
dc.identifierhttp://arxiv.org/abs/0711.2766
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142476
dc.subjectDifferential Geometry
dc.subjectAlgebraic Topology
dc.subject53C05; 55N15; 81T60
dc.titleSuperconnections and Parallel Transport
dc.typetext

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