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arXiv · 1011.5016

1|1 Parallel Transport and Connections

Florin Dumitrescu
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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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Florin Dumitrescu. 2010-11-23. 1|1 Parallel Transport and Connections. https://arxiv.org/abs/1011.5016

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