Path space connections and categorical geometry
classification
🧮 math.CT
math.DG
keywords
bundlesconnectionsformspathspacesprincipalcategoricalcategory-theoreticchen
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.