Bundle Gerbe
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a bundle gerbe is a geometrical model of certain 1-gerbes with connection, or equivalently of a 2-class in Deligne cohomology. 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 H2(M), the second integral cohomology of M. Gerbes, or more ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a bundle gerbe is a geometrical model of certain 1-gerbes with connection, or equivalently of a 2-class in Deligne cohomology. 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 H2(M), 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 H3(M), the third integral cohomology of M.
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