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Bundle gerbe : ウィキペディア英語版
Bundle gerbe

In mathematics, a bundle gerbe is a geometrical model of certain 1-gerbes with connection, or equivalently of a 2-class in Deligne cohomology.
==Topology==

U(1)-principal bundles over a space M (see circle bundle) are geometrical realizations of 1-classes in Deligne cohomology which consist of 1-form connections) and 2-form curvatures. The topology of a U(1) bundle is classified by its Chern class, which is an element of H^2(M, \mathbb), the second integral cohomology of M.
Gerbes, or more precisely 1-gerbes, are abstract descriptions of Deligne 2-classes, which each define an element of H^3(M, \mathbb), the third integral cohomology of ''M''.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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