On zeros of the Alexander polynomial of an alternating knot

2011/02/03 by Lilya Lyubich, Lyubich, Lilya, Kunio Murasugi +1 · 1 citation
Computer Science · Mathematics · Medicine · #Bone health and treatments #Geometric and Algebraic Topology #math.GT #msc:57M25 #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.1102.0701

17 pages, 3 figures

arxiv created 2011/02/03 · arxiv updated 2011/02/04

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<Re(α).

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• Affine representations of rational and pretzel knots

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