Infinitely many knots whose Whitehead doubles have the trivial first coefficient Kauffman polynomial

被引：0

作者：

Takioka, Hideo ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Kyoto 6068502, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2021年 / 30卷 / 08期

关键词：

Kauffman polynomial; f(1)-polynomial; cable knot; Whitehead double; INVARIANT;

D O I：

10.1142/S0218216521500541

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We recall a skein relation of the first coefficient Kauffman polynomial for knots. By using the skein relation, we show that there exist infinitely many knots whose Whitehead doubles have the trivial first coefficient Kauffman polynomial.

引用

页数：14

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