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Gerbes, simplicial forms and invariants for families of foliated bundles

Johan L. Dupont·Franz W. Kamber
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Abstract

The notion of a gerbe with connection is conveniently reformulated in terms of the simplicial deRham complex. In particular the usual Chern-Weil and Chern-Simons theory is well adapted to this framework and rather easily gives rise to `characteristic gerbes' associated to families of bundles and connections. In turn this gives invariants for families of foliated bundles. A special case is the Quillen line bundle associated to families of flat SU(2)-bundles

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BibTeXRIS

Johan L. Dupont, Franz W. Kamber. 2004-08-23. Gerbes, simplicial forms and invariants for families of foliated bundles. https://doi.org/10.1007/s00220-004-1193-5

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