Abstract
We define the Wilson loop observables (WLOs) for pure Chern-Simons models with base manifold M=ℝ3 rigorously as infinite dimensional oscillatory integrals by exploiting an ‘‘axial gauge fixing’’ and applying certain regularization techniques like ‘‘loop-smearing’’ and ‘‘framing’’. The values of the WLOs can be computed explicitly. If the structure group G of the model considered is Abelian one obtains well-known linking number expressions for the WLOs. If G is Non-Abelian one obtains expressions which are similar but not identical to the state sum representations for the Homfly and Kauffman polynomials by Jones and Turaev.
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