Abstract

Vassiliev invariants seem to be a very promising set of knot invariants to classify knot types. All Vassiliev invariants may be obtained from the Kontsevich integral by calculating weights of chord diagrams. In 1997 D. Bar-Natan has obtained an explicit formula for the universal Vassiliev invariant for the trivial knot. It is an open problem to find an analogous formula for an arbitrary knot. We discuss a formula for computing the Kontsevich integral for (2, n)-typeKey wordsVassiliev invariantClosed braidDrinfeld associatorBernoulli numbersFeynman diagramKontsevich integralweights of chord diagram(2, n)-type torus knots

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