Parallel Transport over Path Spaces

Details Parallel Transport over Path Spaces Parallel Transport over Path Spaces

2009-06-10

arxiv.org/abs/0906.1864v3

Rev.Math.Phys.22:1033-1059,2010

Physics

Mathematical Physics

27pp 3fig pdflatex only; v2: rewritten with several clarifications; v3: minor changes, added references. Version to be publish

Scientific paper

10.1142/S0129055X10004156

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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