Reduction of strongly equivariant bundle gerbes with connection and curving

Kiyonori Gomi

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arXiv · math/0406144

Reduction of strongly equivariant bundle gerbes with connection and curving

Kiyonori Gomi

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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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Kiyonori Gomi. 2004-12-16. Reduction of strongly equivariant bundle gerbes with connection and curving. https://arxiv.org/abs/math/0406144

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