Knot Theory from a Chern-Simons Gauge Theory Point of View

Physics – High Energy Physics – High Energy Physics - Theory

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18 pages, lecture delivered at the Workshop on Geometry and Physics held at Medina del Campo, Spain, 1999

Scientific paper

A brief summary of the development of perturbative Chern-Simons gauge theory related to the theory of knots and links is presented. Emphasis is made on the progress achieved towards the determination of a general combinatorial expression for Vassiliev invariants. Its form for all the invariants up to order four is reviewed, and a table of their values for all prime knots with ten crossings is presented.

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