Higher holonomy of formal homology connections and braid cobordisms

DOI10.1142/S0218216516420074zbMath1398.57017MaRDI QIDQ2835373

Toshitake Kohno

Publication date: 2 December 2016

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

zbMATH Keywords

braid group2-categoryiterated integralbraid cobordismhigher holonomyformal homology connection

Mathematics Subject Classification ID

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

Related Items (3)

Formal connections, higher holonomy functors and iterated integrals ⋮ Higher holonomy maps for hyperplane arrangements ⋮ Taylor expansions of groups and filtered-formality

Cites Work

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• The cohomology ring of the colored braid group
• Infinitesimal 2-braidings and differential crossed modules
• 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
• Introduction to Vassiliev Knot Invariants

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