Knotted Seifert surfaces and unknotted Seifert surfaces

被引：0

作者：

Tsutsumi, Yukihiro ^{[1
]}

机构：

[1] Sophia Univ, Fac Sci & Technol, Dept Math, Chiyoda Ku, Tokyo 1028554, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2008年 / 17卷 / 02期

关键词：

knotted Seifert surface; unknotted Seifert surface; free Seifert surface; sutured manifold;

D O I：

10.1142/S0218216508006038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that free genus one knots do not admit Seifert surfaces with hyperbolic exteriors. In this paper, for any integer g >= 2, we exhibit a knot of genus g which bounds a minimal genus Seifert surface with hyperbolic exterior and a minimal genus free Seifert surface.

引用

页码：141 / 155

页数：15

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