Gerbes, simplicial forms and invariants for families of foliated bundles

DOI10.1007/s00220-004-1193-5zbMath1079.57023arXivmath/0308076OpenAlexW3105152987MaRDI QIDQ2385986

Franz W. Kamber, Johan L. Dupont

Publication date: 22 August 2005

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308076

zbMATH Keywords

Deligne cohomologyfamily of principal bundles with connectionsgerbe with connection

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Foliations (differential geometric aspects) (53C12) Determinants and determinant bundles, analytic torsion (58J52) Foliations in differential topology; geometric theory (57R30)

Related Items (5)

Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories ⋮ A generalization of Abel's theorem and the Abel-Jacobi map ⋮ Differential characters and cohomology of the moduli of flat connections ⋮ Invariants of families of flat connections using fiber integration of differential characters ⋮ Central extensions of gauge transformation groups of higher Abelian gerbes

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