Some invariants of pretzel links

被引：23

作者：

Kim, Dongseok ^{[1
]}

Lee, Jaeun ^{[1
]}

机构：

[1] Yeungnam Univ, Dept Math, Kyongsan 712749, South Korea

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2007年 / 75卷 / 02期

关键词：

D O I：

10.1017/S0004972700039198

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that nontrivial. classical pretzel knots L(p, q, r) are hyperbolic with eight exceptions which are torus knots. We find Conway polynomials of n-pretzel links using a new computation tree. As applications, we compute the genera of n-pretzel links using these polynomials and find the basket number of pretzel links by showing that the genus and the canonical genus of a pretzel link are the same.

引用

页码：253 / 271

页数：19

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