Formal connections, higher holonomy functors and iterated integrals

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Abstract

This is a review on representations of the path n-groupoid of a manifold as an n-category based on iterated integrals developed by K.-T. Chen. We describe higher holonomy functors for the path n-groupoid and the homotopy n-groupoid using the notion of formal connections.

Original languageEnglish
Article number107985
JournalTopology and its Applications
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • 2-connection
  • Formal connection
  • Higher holonomy
  • Iterated integral
  • n-category
  • Path groupoid

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