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Alexander polynomials of two-bridge links

Part of: Low-dimensional topology

Published online by Cambridge University Press:  09 April 2009

Taizo Kanenobu
Taizo Kanenobu
Affiliation:
Department of Mathematics kobe UniversityKobe 657, Japan
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Abstract

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We provide an algorithm for calculating the Alexander polynomial of a two-bridge link by putting every two-bridge link in a special type of Conway diagram. Using this algorithm, some necessary conditions for a polynomial to be the Alexander polynomial of a two-bridge link are given, in particular, certain alternating and monotonicity conditions on the coefficients, analogous to corresponding known properties of the reduced Alexander polynomial.

MSC classification

Secondary: 57M25: Knots and links in $S^3$
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 36 , Issue 1 , February 1984 , pp. 59 - 68
Copyright
Copyright © Australian Mathematical Society 1984

References

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