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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==
-principal bundles over a space (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 bundle is classified by its Chern class, which is an element of , the second integral cohomology of . Gerbes, or more precisely 1-gerbes, are abstract descriptions of Deligne 2-classes, which each define an element of , 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)』 ■ウィキペディアで「Bundle gerbe」の詳細全文を読む
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