1301.6407 (E. Guadagnini et al.)

Three-manifold invariant from functional integration    [PDF]

E. Guadagnini, F. Thuillier

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.

View original: http://arxiv.org/abs/1301.6407