Gerbes, simplicial forms and invariants for families of foliated bundles
Differential Geometry
2015-06-26 v3 Mathematical Physics
math.MP
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
Cite
@article{arxiv.math/0308076,
title = {Gerbes, simplicial forms and invariants for families of foliated bundles},
author = {Johan L. Dupont and Franz W. Kamber},
journal= {arXiv preprint arXiv:math/0308076},
year = {2015}
}
Comments
28 pages