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Link Invariants from Classical Chern-Simons Theory

Lorenzo Leal
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Abstract

Taking as starting point a perturbative study of the classical equations of motion of the non-Abelian Chern-Simons Theory with non-dynamical sources, we search for analytical expressions for link invarians. In order to present these expressions in a manifestly diffeomorphism-invariant form, we introduce a set of differential forms associated with submanifolds in Euclidean three-space that allow us to write the link invariants as a kind of surface-dependent diffeomorphism-invariants that present certain Abelian gauge symmetry.

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Lorenzo Leal. 2002-05-08. Link Invariants from Classical Chern-Simons Theory. https://doi.org/10.1103/physrevd.66.125007

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