arXivDaily arXiv每日学术速递 周一至周五更新
arXiv math/0308076math.DGmath-phmath.MP

Gerbes, simplicial forms and invariants for families of foliated bundles

Johan L. Dupont, Franz W. Kamber

英文摘要:

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

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑