On zeros of the Alexander polynomial of an alternating knot

2011/02/03 by Lilya Lyubich, Lyubich, Lilya, Kunio Murasugi +1 · 1 citation
Mathematics · Computer Science · Medicine · #Geometric and Algebraic Topology #semigroups and automata theory #Bone health and treatments

paper · pdf · doi:10.48550/arxiv.1102.0701

Abstract

We prove that for any zero α of the Alexander polynomial of a two-bridge knot, -3 < Re(α) < 6. Furthermore, for a large class of two-bridge knots we prove -1

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• Affine representations of rational and pretzel knots

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