Path space connections and categorical geometry
Category Theory
2014-01-07 v2 Differential Geometry
Abstract
We study a type of connection forms, given by Chen integrals, over pathspaces by placing such forms within a category-theoretic framework of principal bundles and connections. We introduce a notion of 'decorated' principal bundles, develop parallel transport on such bundles, and explore specific examples in the context of pathspaces.
Cite
@article{arxiv.1207.5488,
title = {Path space connections and categorical geometry},
author = {Saikat Chatterjee and Amitabha Lahiri and Ambar N. Sengupta},
journal= {arXiv preprint arXiv:1207.5488},
year = {2014}
}
Comments
50 pages. Updated and revised on 16th August 2012