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This article is cited in 20 scientific papers (total in 20 papers)
Deligne–Beilinson Cohomology and Abelian Link Invariants
Enore Guadagniniab, Frank Thuillierc a Sezione di Pisa dell'INFN, Italy
b Dipartimento di Fisica "E. Fermi" dell'Università di Pisa
c LAPTH, Chemin de Bellevue, BP 110, F-74941 Annecy-le-Vieux cedex, France
Abstract:
For the Abelian Chern–Simons field theory, we consider the quantum functional integration over the Deligne–Beilinson cohomology classes and we derive the main properties of the observables in a generic closed orientable 3-manifold. We present an explicit path-integral non-perturbative computation of the Chern–Simons link invariants in the case of the torsion-free 3-manifolds $S^3$, $S^1\times S^2$ and $S^1\times\Sigma_g$.
Keywords:
Deligne–Beilinson cohomology; Abelian Chern–Simons; Abelian link invariants.
Received: July 14, 2008; in final form October 27, 2008; Published online November 11, 2008
Citation:
Enore Guadagnini, Frank Thuillier, “Deligne–Beilinson Cohomology and Abelian Link Invariants”, SIGMA, 4 (2008), 078, 30 pp.
Linking options:
https://www.mathnet.ru/eng/sigma331 https://www.mathnet.ru/eng/sigma/v4/p78
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Abstract page: | 264 | Full-text PDF : | 102 | References: | 28 |
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