Trivializing number of knots

被引：9

作者：

Hanaki, Ryo ^{[1
]}

机构：

[1] Nara Univ Educ, Dept Math, Nara 6308528, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2014年 / 66卷 / 02期

关键词：

pseudo diagram; trivializing number; unknotting number; genus; positive knot; POSITIVE KNOTS; LINKS; BRAIDS; JONES; GENUS;

D O I：

10.2969/jmsj/06620435

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a numerical invariant, called trivializing number, of knots and investigate it. The trivializing number gives an upper bound of unknotting number and canonical genus for knots. We present a table of trivializing numbers for up to 10 crossings knots. We conjecture that twice of the unknotting number of any positive knot is equal to the trivializing number of it and give a partial answer.

引用

页码：435 / 447

页数：13

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