1|1 Parallel Transport and Connections
arXiv:1011.5016
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.
19 pages; v2: added Section 4.3 completing proof and further remarks