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arxiv: 0906.1864 · v3 · pith:NITXBK6Vnew · submitted 2009-06-10 · 🧮 math-ph · hep-th· math.CT· math.MP

Parallel Transport over Path Spaces

classification 🧮 math-ph hep-thmath.CTmath.MP
keywords frameworkparallelpathspacestheorytransportcategory-theoreticcontinuum
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We develop a differential geometric framework for parallel transport over path spaces and a corresponding discrete theory, an integrated version of the continuum theory, using a category-theoretic framework.

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