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

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

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