Higher holonomy and iterated integrals
Toshitake KohnoUniversity of Tokyo, Japan
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We develop a method to construct representations of the homotopy -groupoid of a manifold as an -category by means of K.-T. Chen’s formal homology connections for any positive integer . We establish a higher holonomy functor from the homotopy -groupoid to a category obtained from the tensor algebra over the homology of the manifold.