Parallel transport in principal 2-bundles

zbMath1432.53030arXiv1704.08542MaRDI QIDQ3121022

Konrad Waldorf

Publication date: 19 March 2019

Full work available at URL: https://arxiv.org/abs/1704.08542

zbMATH Keywords

Lie groupoidsparallel transportGerbes2-bundle

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Pseudogroups and differentiable groupoids (58H05) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (7)

Operational total space theory of principal 2-bundles II: 2-connections and 1- and 2-gauge transformations ⋮ Operational total space theory of principal 2-bundles I: operational geometric framework ⋮ Two-dimensional algebra in lattice gauge theory ⋮ The non-abelian self-dual string ⋮ Smooth 2-group extensions and symmetries of bundle gerbes ⋮ Gerbes in geometry, field theory, and quantisation ⋮ The higher Riemann-Hilbert correspondence and principal 2-bundles

Cites Work

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• Four equivalent versions of nonabelian gerbes
• Smooth functors vs. differential forms
• Central extensions of smooth 2-groups and a finite-dimensional string 2-group
• Non-abelian differentiable gerbes
• Local theory for 2-functors on path 2-groupoids
• Nonabelian bundle gerbes, their differential geometry and gauge theory
• Differential geometry of gerbes
• Connections on non-abelian Gerbes and their Holonomy
• Principal 2-bundles and their gauge 2-groups
• Bundle Gerbes

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