Higher holonomy maps for hyperplane arrangements

  • Toshitake KohnoEmail author
Research/Review Article


We develop a method to construct representations of the homotopy 2-groupoid of a manifold as a 2-category by means of Chen’s formal homology connections. As an application we describe 2-holonomy maps for hyperplane arrangements and discuss representations of the category of braid cobordisms.


Braid group Iterated integral Formal homology connection Hyperplane arrangement Higher holonomy 2-Category Braid cobordism 

Mathematics Subject Classification

20F36 57M25 55P62 



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Authors and Affiliations

  1. 1.Kavli IPMU, Graduate School of Mathematical SciencesThe University of TokyoMeguro-kuJapan

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