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1|1 Parallel Transport and Connections

Published 23 Nov 2010 in math.DG | (1011.5016v2)

Abstract: 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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