Jones Polynomial - Link With Chern-Simons Theory

Link With Chern-Simons Theory

As first shown by Edward Witten, the Jones polynomial of a given knot γ, can be obtained by considering Chern-Simons theory on the three-sphere with gauge group SU(2), and computing the vacuum expectation value of a Wilson loop WF(γ), associated to γ, and the fundamental representation F of SU(2).

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