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Application of Braiding Sequences. II. Polynomial Invariants of Positive Knots

Published online by Cambridge University Press:  03 March 2016

A. Stoimenow*
Affiliation:
School of General Studies, Gwangju Institute of Science and Technology, GIST College, 123 Cheomdan-gwagiro, Gwangju 500-712, Republic of Korea ([email protected])

Abstract

We apply the concept of braiding sequences to link polynomials to show polynomial growth bounds on the derivatives of the Jones polynomial evaluated on S1 and of the Brandt–Lickorish–Millett–Ho polynomial evaluated on [–2, 2] on alternating and positive knots of given genus. For positive links, boundedness criteria for the coefficients of the Jones, HOMFLY and Kauffman polynomials are derived. (This is a continuation of the paper ‘Applications of braiding sequences. I’: Commun. Contemp. Math.12(5) (2010), 681–726.)

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 2016 

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