Path space forms and surface holonomy

Details Path space forms and surface holonomy Path space forms and surface holonomy

2010-07-07

arxiv.org/abs/1007.1159v1

Proceeding: 28th Workshop on Geometric Methods in Physics (XXVIII WGMP), Bialowieza, Poland, 28 Jun - 4 Jul 2009, Published in

Physics

Mathematical Physics

6 pages, 2 figures. Talk delivered by S. Chatterjee at XXVIII WGMP, 28th June-4th July, 2009. Bialowieza, Poland

Scientific paper

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.

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