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arXiv · 0801.1445

Deligne-Beilinson cohomology and abelian links invariants

Enore Guadagnini·Frank Thuillier
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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 links invariants in the case of the torsion-free 3-manifolds $S^3$, $S^1 \times S^2$ and $S^1 \times Σ_g$.

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Enore Guadagnini, Frank Thuillier. 2008-11-17. Deligne-Beilinson cohomology and abelian links invariants. https://doi.org/10.3842/sigma.2008.078

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