Presentation of immersed surface-links by marked graph diagrams

被引：4

作者：

Kamada, Seiichi ^{[1
]}

Kawauchi, Akio ^{[2
]}

Kim, Jieon ^{[2
]}

Lee, Sang Youl ^{[3
]}

机构：

[1] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

[2] Osaka City Univ, Adv Math Inst, Sumiyoshi Ku, Osaka 5588585, Japan

[3] Pusan Natl Univ, Dept Math, Busan 46241, South Korea

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2018年 / 27卷 / 10期

基金：

新加坡国家研究基金会;

关键词：

Immersed surface-link; marked graph diagrams; H-admissibility; generalized Yoshikawa moves; 4-SPACE;

D O I：

10.1142/S0218216518500529

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well known that surface-links in 4-space can be presented by diagrams on the plane of 4-valent spatial graphs with makers on the vertices, called marked graph diagrams. In this paper, we extend the method of presenting surface-links by marked graph diagrams to presenting immersed surface-links. We also give some moves on marked graph diagrams that preserve the ambient isotopy classes of their presenting immersed surface-links.

引用

页数：10

共 10 条

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