Deligne-Beilinson cohomology and abelian links invariants
نویسندگان
چکیده
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 pathintegral non-perturbative computation of the Chern-Simons links invariants in the case of the torsion-free 3-manifolds S, S × S and S × Σg.
منابع مشابه
Deligne-Beilinson cohomology and abelian link invariants: torsion case
In a quite recent paper [1], we have shown how Deligne-Beilinson cohomology [8, 9, 10, 11, 12, 16] within Chern-Simons QFT framework [2, 3, 4, 5, 6, 7, 19, 20] can be used to provide a non perturbative way to compute abelian link invariants on some three dimensional manifolds, such as S, S ×S etc. In particular, quantization of the ChernSimons parameter k as well as the charges q of the links w...
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