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arXiv · 1207.5488

Path space connections and categorical geometry

Saikat Chatterjee·Amitabha Lahiri·Ambar N. Sengupta
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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.

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Saikat Chatterjee, Amitabha Lahiri, Ambar N. Sengupta. 2012-07-23. Path space connections and categorical geometry. https://arxiv.org/abs/1207.5488

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