Formal connections, higher holonomy functors and iterated integrals

DOI10.1016/j.topol.2021.107985OpenAlexW4200129289WikidataQ114128018 ScholiaQ114128018MaRDI QIDQ2139831

Toshitake Kohno

Publication date: 19 May 2022

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2021.107985

zbMATH Keywords

iterated integral\(n\)-categoryformal connection2-connectionhigher holonomypath groupoid

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Braid groups; Artin groups (20F36) Loop spaces (55P35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Categorifying the Knizhnik-Zamolodchikov connection
• Surface holonomy for non-Abelian 2-bundles via double groupoids
• An invitation to higher gauge theory
• Higher holonomy maps for hyperplane arrangements
• Higher holonomies: comparing two constructions
• Categorifying the \(\mathfrak{sl}(2,\mathbb{C})\) Knizhnik-Zamolodchikov connection via an infinitesimal \(2\)-Yang-Baxter operator in the string Lie-\(2\)-algebra
• Iterated integrals of differential forms and loop space homology
• Higher holonomy of formal homology connections and braid cobordisms
• Iterated path integrals
• Combinatorial homotopy. I
• Combinatorial homotopy. II
• Bar complex of the Orlik-Solomon algebra

This page was built for publication: Formal connections, higher holonomy functors and iterated integrals