The derivative of global surface-holonomy for a non-abelian gerbe

DOI10.1016/j.difgeo.2021.101737zbMath1470.53025arXiv2002.09775OpenAlexW3133110731WikidataQ115354612 ScholiaQ115354612MaRDI QIDQ2022425

Cheyne J. Glass

Publication date: 29 April 2021

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

Full work available at URL: https://arxiv.org/abs/2002.09775

zbMATH Keywords

diffeological space2-holonomy

Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Categories in geometry and topology (18F99) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (1)

Modeling bundle-valued forms on the path space with a curved iterated integral

Cites Work

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• Four equivalent versions of nonabelian gerbes
• Equivariant holonomy for bundles and abelian gerbes
• Smooth functors vs. differential forms
• Surface holonomy for non-Abelian 2-bundles via double groupoids
• Parallel transport and functors
• Groupoids and crossed objects in algebraic topology
• Local theory for 2-functors on path 2-groupoids
• Iterated integrals of differential forms and loop space homology
• Connections on non-abelian Gerbes and their Holonomy
• On two-dimensional holonomy
• Convenient categories of smooth spaces
• On the Connection between the Second Relative Homotopy Groups of Some Related Spaces
• Higher gauge theory—differential versus integral formulation

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