Symmetry, Integrability and Geometry: Methods and Applications (Nov 2008)

Deligne-Beilinson Cohomology and Abelian Link Invariants

  • Enore Guadagnini,
  • Frank Thuillier

Journal volume & issue
Vol. 4
p. 078

Abstract

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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 × S^2 and S^1 × Σ_g.

Keywords