Stable Alexander polynomials of arborescent links

被引：0
|
作者：
Hirasawa, Mikami [1 ]
Murasugi, Kunio [2 ]
机构：
[1] Nagoya Inst Technol, Dept Math, Nagoya, Aichi 4668555, Japan
[2] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2019年 / 28卷 / 13期
基金：
日本学术振兴会;
关键词：
Knot; link; arborescent link; Alexander polynomial; real stable polynomial; bi-stable polynomial; circular stable polynomial; interlacing zeros;
D O I：
10.1142/S0218216519400170
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：21
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