Higher holonomy and iterated integrals

  • Toshitake Kohno

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