CONNECTIONS AND CURVINGS ON LIFTING BUNDLE GERBES

DOI10.1112/S0024610702004076zbMath1059.53028arXivmath/0107175OpenAlexW2035550739MaRDI QIDQ4467846

Kiyonori Gomi

Publication date: 10 June 2004

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0107175

zbMATH Keywords

connectionsDeligne cohomologybundle gerbecurving

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Connections (general theory) (53C05)

Related Items (9)

On a generalised Connes-Hochschild-Kostant-Rosenberg theorem ⋮ Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories ⋮ Localization for Chern-Simons on circle bundles via loop groups ⋮ String geometry vs. spin geometry on loop spaces ⋮ A LOOP SPACE FORMULATION FOR GEOMETRIC LIFTING PROBLEMS ⋮ Transgression to loop spaces and its inverse. III: Gerbes and thin fusion bundles ⋮ Relative gerbes ⋮ CIRCLE ACTIONS, CENTRAL EXTENSIONS AND STRING STRUCTURES ⋮ Gerbes in geometry, field theory, and quantisation

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