Path space forms and surface holonomy

Saikat Chatterjee; Amitabha Lahiri; Ambar N. Sengupta

doi:10.1063/1.3275598

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arXiv · 1007.1159

Path space forms and surface holonomy

Saikat Chatterjee·Amitabha Lahiri·Ambar N. Sengupta

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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.

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Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta. 2010-07-07. Path space forms and surface holonomy. https://doi.org/10.1063/1.3275598

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