Lifting problems and transgression for non-abelian gerbes

DOI10.1016/j.aim.2013.03.022zbMath1291.55009arXiv1112.4702OpenAlexW2962708555MaRDI QIDQ387032

Thomas Nikolaus, Konrad Waldorf

Publication date: 11 December 2013

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1112.4702

zbMATH Keywords

loop spacetransgressionnon-abelian cohomologyLie 2-groupnon-abelian gerbestring structure

Mathematics Subject Classification ID

Nonabelian homological algebra (category-theoretic aspects) (18G50) Topological groupoids (including differentiable and Lie groupoids) (22A22) Generalizations of fiber spaces and bundles in algebraic topology (55R65) ?ech types (55N05) Differential geometric aspects of gerbes and differential characters (53C08)

Related Items (9)

Fusion of implementers for spinors on the circle ⋮ Principal \(\infty \)-bundles: general theory ⋮ String geometry vs. spin geometry on loop spaces ⋮ Transgression to loop spaces and its inverse. III: Gerbes and thin fusion bundles ⋮ Transgressive loop group extensions ⋮ Transgression maps for crossed modules of groupoids ⋮ Quasi-periodic paths and a string 2-group model from the free loop group ⋮ Higher geometry for non-geometric T-duals ⋮ Notes on generalized global symmetries in QFT

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