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arXiv · 1301.6407

Three-manifold invariant from functional integration

E. Guadagnini·F. Thuillier
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Abstract

We give a precise definition and produce a path-integral computation of the normalized partition function of the abelian U(1) Chern-Simons field theory defined in a general closed oriented 3-manifold. We use the Deligne-Beilinson formalism, we sum over the inequivalent U(1) principal bundles over the manifold and, for each bundle, we integrate over the gauge orbits of the associated connection 1- forms. The result of the functional integration is compared with the abelian U(1) Reshetikhin-Turaev surgery invariant.

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E. Guadagnini, F. Thuillier. 2013-01-27. Three-manifold invariant from functional integration. https://doi.org/10.1063/1.4818738

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