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Sharp bounds on some classical knot invariants.

Kearton, C. and Wilson, S. M. J. (2003) 'Sharp bounds on some classical knot invariants.', Journal of knot theory and its ramifications., 12 (6). pp. 805-817.

Abstract

There are obvious inequalities relating the Nakanishi index of a knot, the bridge number, the degree $2n$ of the Alexander polynomial and the length of the chain of Alexander ideals. We give examples for every positive value of $n$ to show that these bounds are sharp.

Item Type:Article
Additional Information:
Keywords:Nakanishi index, Knot module, Bridge number, Alexander polynomial, Alexander ideal, Nonmaximal order, Arithmetic order, Hermitian order, Hermitian form, Fitting ideal.
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1142/S0218216503002792
Record Created:15 Feb 2008
Last Modified:08 Apr 2009 16:30

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