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KNOTS WITH GIVEN FINITE TYPE INVARIANTS AND CONWAY POLYNOMIAL

Department of Mathematics, Faculty of Science, Kobe University, Rokko, Nada-ku, Kobe, 657-8501, Japan

and

Department of Mathematics, College of Arts and Sciences, Tokyo Woman's Christian University, 2-6-1, Zempukuji, Suginami-ku, Tokyo, 167-8585, Japan

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https://doi.org/10.1142/S0218216506004427Cited by:2 (Source: Crossref)

Abstract

It is well-known that the coefficient of z^m of the Conway polynomial is a Vassiiev invariant of order m. In this paper, we show that for any given pair of a natural number n and a knot K, there exist infinitely many knots whose Vassiliev invariants of order less than or equal to n and Conway polynomials coincide with those of K.

Keywords:

AMSC: 57M25

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