Surgery descriptions and volumes of Berge knots I: Large volume berge knots

被引：21

作者：

Baker, Kenneth L. ^{[1
]}

机构：

[1] Univ Miami, Dept Math, Coral Gables, FL 33124 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2008年 / 17卷 / 09期

关键词：

berge knots; lens space; surgery description; volume; chain link;

D O I：

10.1142/S0218216508006518

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By obtaining surgery descriptions of knots which lie on the genus one fiber of the trefoil or figure eight knot, we show that these include hyperbolic knots with arbitrarily large volume. These knots admit lens space surgeries and form two families of Berge knots. By way of tangle descriptions we also obtain surgery descriptions for these knots on minimally twisted chain links.

引用

页码：1077 / 1097

页数：21

共 6 条

[1]

ADAMS CC, 1988, J LOND MATH SOC, V38, P555

[2] Surgery descriptions and volumes of Berge knots II: Descriptions on the minimally twisted five chain link [J].