Reduction of strongly equivariant bundle gerbes with connection and curving

Details Reduction of strongly equivariant bundle gerbes with connection and curving Reduction of strongly equivariant bundle gerbes with connection and curving

Publishing date

2004-06-08

URL

arxiv.org/abs/math/0406144v2

Science

Mathematics

Field

Differential Geometry

Additional info

47 pages, LaTex 2e, Xypic, errors corrected

Type

Scientific paper

Abstract

From a certain strongly equivariant bundle gerbe with connection and curving over a smooth manifold on which a Lie group acts, we construct under some conditions a bundle gerbe with connection and curving over the quotient space. In general, the construction requires a choice, and we can consequently obtain distinct stable isomorphism classes of bundle gerbes with connection and curving over the quotient space. A bundle gerbe naturally arising in Chern-Simons theory provides an example of the reduction.

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