Parallel Transport over Path Spaces
Mathematical Physics
2010-10-27 v3 High Energy Physics - Theory
Category Theory
math.MP
Abstract
We develop a differential geometric framework for parallel transport over path spaces and a corresponding discrete theory, an integrated version of the continuum theory, using a category-theoretic framework.
Keywords
Cite
@article{arxiv.0906.1864,
title = {Parallel Transport over Path Spaces},
author = {Saikat Chatterjee and Amitabha Lahiri and Ambar N. Sengupta},
journal= {arXiv preprint arXiv:0906.1864},
year = {2010}
}
Comments
27pp 3fig pdflatex only; v2: rewritten with several clarifications; v3: minor changes, added references. Version to be published, 30pp