Path space forms and surface holonomy
Mathematical Physics
2015-05-19 v1 High Energy Physics - Theory
math.MP
Abstract
We develop parallel transport on path spaces from a differential geometric approach, whose integral version connects with the category theoretic approach. In the framework of 2-connections, our approach leads to further development of higher gauge theory, where end points of the path need not be fixed.
Keywords
Cite
@article{arxiv.1007.1159,
title = {Path space forms and surface holonomy},
author = {Saikat Chatterjee and Amitabha Lahiri and Ambar N. Sengupta},
journal= {arXiv preprint arXiv:1007.1159},
year = {2015}
}
Comments
6 pages, 2 figures. Talk delivered by S. Chatterjee at XXVIII WGMP, 28th June-4th July, 2009. Bialowieza, Poland