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.
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页数：10
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