Transgression maps for crossed modules of groupoids

DOI10.1142/S0129167X21500610zbMath1503.20015arXiv2001.10233OpenAlexW3171221749MaRDI QIDQ4958316

Xiongwei Cai

Publication date: 7 September 2021

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10233

zbMATH Keywords

crossed modulesgroupoidssimplicial manifoldstransgression maps

Mathematics Subject Classification ID

Topological groupoids (including differentiable and Lie groupoids) (22A22) Simplicial sets and complexes in algebraic topology (55U10) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05) Homology of a product, Künneth formula (55U25)

Cites Work

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• Lifting problems and transgression for non-abelian gerbes
• Topological gauge theories and group cohomology
• Curvature and characteristic classes
• The geometry of degree-four characteristic classes and of line bundles on loop spaces. I
• Characteristic forms and geometric invariants
• Topics in the homology theory of fibre bundles. Lectures given at the University of Chicago, 1954. Notes by E. Halpern
• A simple intrinsic proof of the Gauss-Bonnet formula for closed Riemannian manifolds
• On the curvatura integra in a Riemannian manifold
• The ring structure for equivariant twisted K-theory
• TRANSGRESSION IN ASSOCIATED BUNDLES
• Loop spaces, characteristic classes and geometric quantization

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