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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 (06). pp. 805-817.


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
Keywords:Nakanishi index, Knot module, Bridge number, Alexander polynomial, Alexander ideal, Nonmaximal order, Arithmetic order, Hermitian order, Hermitian form, Fitting ideal.
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Record Created:15 Feb 2008
Last Modified:04 Oct 2017 14:56

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