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Department of Mathematical Sciences

Staff

Publication details for Dr Cherry Kearton

Kearton, C. & Wilson, S.M.J. (2003). Sharp bounds on some classical knot invariants. Journal of Knot Theory and its Ramifications 12(6): 805-817.
  • Publication type: Journal papers: academic
  • ISSN/ISBN: 0218-2165
  • DOI: 10.1142/S0218216503002792
  • Keywords: Nakanishi index, knot module, bridge number, Alexander polynomial, Alexander ideal,nonmaximal order, arithmetic order, Hermitian order, Hermitian form, Fitting ideal
  • View online: Online version
  • Durham research online: DRO record

Author(s) from Durham

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.