The Links-Gould Invariant as a Classical Generalization of the Alexander Polynomial?

被引：1

作者：

Kohli, Ben-Michael ^{[1
]}

机构：

[1] Univ Bourgogne Franche Comte, Inst Math Bourgogne, Dijon, France

来源：

EXPERIMENTAL MATHEMATICS | 2018年 / 27卷 / 03期

关键词：

Alexander-Conway polynomial; fibredness; genus; knot; link; Links-Gould invariant; SUBGROUP; GENUS;

D O I：

10.1080/10586458.2016.1255860

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we conjecture that the Links-Gould invariant of links, which we know is a generalization of the Alexander-Conway polynomial, shares some of its classical features. In particular, it seems to give a lower bound for the genus of links and to provide a criterion for fibredness of knots. We give some evidence for these two assumptions.

引用

页码：251 / 264

页数：14

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