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arxiv: math/0308076 · v3 · pith:V4LVBCWWnew · submitted 2003-08-08 · 🧮 math.DG · math-ph· math.MP

Gerbes, simplicial forms and invariants for families of foliated bundles

classification 🧮 math.DG math-phmath.MP
keywords bundlesfamiliesassociatedfoliatedgerbesgivesinvariantssimplicial
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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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