1|1 Parallel Transport and Connections
Differential Geometry
2012-03-13 v2
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.
Keywords
Cite
@article{arxiv.1011.5016,
title = {1|1 Parallel Transport and Connections},
author = {Florin Dumitrescu},
journal= {arXiv preprint arXiv:1011.5016},
year = {2012}
}
Comments
19 pages; v2: added Section 4.3 completing proof and further remarks