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Title: Three-manifold invariant from functional integration

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.
Authors:
 [1] ;  [2]
  1. Dipartimento di Fisica “E. Fermi” dell'Università di Pisa and INFN, Sezione di Pisa (Italy)
  2. LAPTH, Université de Savoie, CNRS, Chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux cedex (France)
Publication Date:
OSTI Identifier:
22224160
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 8; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FIELD THEORIES; PARTITION FUNCTIONS; PATH INTEGRALS; UNITARY SYMMETRY