Geometric indices and the Alexander polynomial of a knot

被引：10
|
作者：
Fujii, H
机构：
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 09期
关键词：
tunnel number; bridge index; Alexander polynomial;
D O I：
10.1090/S0002-9939-96-03489-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is well-known that any Laurent polynomial Delta(t) satisfying Delta(t) approaches Delta(t(-1)) and Delta(1) = +/-1 is the Alexander polynomial of a knot in S-3. We show that Delta(t) can be realized by a knot which has the following properties simultaneously: (i) tunnel number 1; (ii) bridge index 3; and (iii) unknotting number 1.
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页码：2923 / 2933
页数：11
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