1|1 Parallel Transport and Connections
classification
🧮 math.DG
keywords
paralleltransportalongbundleconnectionsupermanifoldsuperpathsvector
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A vector bundle with connection over a supermanifold leads naturally to a notion of parallel transport along superpaths. In this note we show that {\it every} such parallel transport along superpaths comes form a vector bundle with connection, at least when the base supermanifold is a manifold.
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