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) x S(2) and S(1) x Sigma(g).
Deligne-Beilinson cohomology and abelian link invariants
GUADAGNINI, ENORE;
2008-01-01
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) x S(2) and S(1) x Sigma(g).File in questo prodotto:
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