CROSSED MODULE BUNDLE GERBES; CLASSIFICATION, STRING GROUP AND DIFFERENTIAL GEOMETRY

DOI10.1142/S0219887811005555zbMath1232.53027arXivmath/0510078WikidataQ115245434 ScholiaQ115245434MaRDI QIDQ3098886

Branislav Jurčo

Publication date: 18 November 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510078

zbMATH Keywords

bundle gerbesstring groupnon-abelian gerbesbundle gerbe \(B\)-fieldbundle gerbe connectionnerve of a groupoid

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items

Semistrict higher gauge theory ⋮ Lifting problems and transgression for non-abelian gerbes ⋮ Principal \(\infty\)-bundles: presentations ⋮ The fundamental Gray 3-groupoid of a smooth manifold and local 3-dimensional holonomy based on a 2-crossed module ⋮ Central extensions of smooth 2-groups and a finite-dimensional string 2-group ⋮ Higher groupoid bundles, higher spaces, and self-dual tensor field equations ⋮ The Classifying Space of a Topological 2-Group

Cites Work

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• Nerves and classifying spaces for bicategories
• The classifying topos of a topological bicategory
• Nonabelian bundle gerbes, their differential geometry and gauge theory
• Differential geometry of gerbes
• Integrating -algebras
• The Classifying Space of a Topological 2-Group
• Bundle Gerbes