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.
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页码：141 / 155
页数：15
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