Higher holonomies: comparing two constructions

DOI10.1016/j.difgeo.2015.02.003zbMath1326.53063arXiv1404.0729OpenAlexW2032018297WikidataQ115356021 ScholiaQ115356021MaRDI QIDQ2348078

Florian Schätz, Camilo Arias Abad

Publication date: 10 June 2015

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

Full work available at URL: https://arxiv.org/abs/1404.0729

zbMATH Keywords

parallel transportsuperconnectionhigher gauge theoryhigher category theoryhigher connections

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29)

Related Items (9)

On the global 2-holonomy for a 2-connection on a 2-bundle ⋮ Formal connections, higher holonomy functors and iterated integrals ⋮ Wilson Surfaces for Surface Knots: A Field Theoretic Route to Higher Knots ⋮ Crossed modules of Hopf algebras and of associative algebras and two-dimensional holonomy ⋮ A new formulation of higher parallel transport in higher gauge theory ⋮ On higher holonomy invariants in higher gauge theory I ⋮ The higher Riemann-Hilbert correspondence and principal 2-bundles ⋮ Integration of $2$-term representations up to homotopy via $2$-functors ⋮ Higher holonomy of formal homology connections and braid cobordisms

Cites Work

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• Lie crossed modules and gauge-invariant actions for 2-BF theories
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• Surface holonomy for non-Abelian 2-bundles via double groupoids
• On Chen's iterated integrals
• The higher Riemann-Hilbert correspondence
• On adding relations to homotopy groups
• Note on a previous paper entitled 'On adding relations to homotopy groups'
• On two-dimensional holonomy
• Iterated path integrals
• The A∞ de Rham Theorem and Integration of Representations up to Homotopy

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