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AN UPPER BOUND FOR THE NUMBER OF VASSILIEV KNOT INVARIANTS

S. V. CHMUTOV

Program Systems Institute, Pereslavl-Zalessky, 152140, Russia

Current address: University of Pisa, Pisa, Italy.

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and

S. V. DUZHIN

Program Systems Institute, Pereslavl-Zalessky, 152140, Russia

Current address: University of Aizu, 965-80, Japan.

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https://doi.org/10.1142/S0218216594000101Cited by:21 (Source: Crossref)

Abstract

We prove that the number of independent Vassiliev knot invariants of order n is less than (n − 1)! — thus strengthening the a priori bound (2n − 1)!!