Gerbes in classical Chern-Simons theory

Kiyonori Gomi

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arXiv · hep-th/0105072

Gerbes in classical Chern-Simons theory

Kiyonori Gomi

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Abstract

We construct geometrically a gerbe assigned to a connection on a principal SU(2)-bundle over an oriented closed 1-dimensional manifold. If the connection is given by the restriction of a connection on a bundle over a compact 2-manifold bounding the 1-manifold, then we have a natural object in the gerbe. The gerbes and the objects satisfy certain fundamental properties, e.g. gluing law.

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Kiyonori Gomi. 2001-05-11. Gerbes in classical Chern-Simons theory. https://arxiv.org/abs/hep-th/0105072

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