Gerbes, simplicial forms and invariants for families of foliated bundles
Dupont, Johan L. ; Kamber, Franz W.
arXiv, 0308076 / Harvested from arXiv
Text on arXiv
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
Publié le : 2003-08-08
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  55R20,  57R30,  57R22,  53C05,  53C12 
@article{0308076,
     author = {Dupont, Johan L. and Kamber, Franz W.},
     title = {Gerbes, simplicial forms and invariants for families of foliated bundles},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0308076}
}

Dupont, Johan L.; Kamber, Franz W. Gerbes, simplicial forms and invariants for families of foliated bundles. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308076/