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Sfb 288 Differential Geometry and Quantum Physics |
Abstract for Sfb Preprint No. 105
On Vassiliev's knot invariants K. Mohnke
The origin of this article is a lecture given by P.Cartierfootnote{D`{e}partment de Math`{e}matique et Informatique, `{E}cole Normale Sup`{e}rieure, France} in Zdikov in February 1993. It presents a construction of a probably `complete` set of knot invariants based on ideas of Vassiliev, Sossinsky, Kontsevich, Bar--Nathan, and others. To have a convenient framework, we consider a vector space $V$ for which the set of all knots is considered to be a basis. Then we construct a finite dimensional filtration in a more or less canonical way together with a natural basis which respects the filtration.
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