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Stable Alexander polynomials of arborescent links

Mikami Hirasawa

Department of Mathematics, Nagoya Institute of Technology, Nagoya Aichi 466-8555 Japan

E-mail Address: hirasawa.mikami@nitech.ac.jp

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and

Kunio Murasugi

Department of Mathematics, University of Toronto, Toronto, ON M5S2E4 Canada

E-mail Address: murasugi@math.toronto.edu

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https://doi.org/10.1142/S0218216519400170Cited by:0 (Source: Crossref)

This article is part of the issue:

Special Issue: Knots, Low-Dimensional Topology and Applications — Part II

Abstract

We study the zeros of Alexander polynomials of three classes of arborescent links. In the first class, the zeros are real (and negative) or modulus one. In the second class, the zeros are real (and positive). In the third class, the zeros are real or modulus one. For this purpose, we modify their Alexander polynomials into other real polynomials, with only real zeros, and use the property that two such polynomials have interlacing real zeros.

Keywords:

AMSC: 57M25

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