2017年10月
Ribbon-clasp surface-links and normal forms of immersed surface-links
TOPOLOGY AND ITS APPLICATIONS
- ,
- 巻
- 230
- 号
- 1
- 開始ページ
- 181
- 終了ページ
- 193
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.topol.2017.08.033
- 出版者・発行元
- ELSEVIER SCIENCE BV
We introduce the notion of a ribbon-clasp surface-link, which is a generalization of a ribbon surface-link. We generalize the notion of a normal form on embedded surface-links to the case of immersed surface-links and prove that any immersed surface-link can be described in a normal form. It is known that an embedded surface-link is a ribbon surface-link if and only if it can be described in a symmetric normal form. We prove that an immersed surface-link is a ribbon-clasp surface-link if and only if it can be described in a symmetric normal form. We also introduce the notion of a ribbon-clasp normal form, which is a simpler version of a symmetric normal form. (C) 2017 Elsevier B.V. All rights reserved.
- リンク情報
- ID情報
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- DOI : 10.1016/j.topol.2017.08.033
- ISSN : 0166-8641
- eISSN : 1879-3207
- Web of Science ID : WOS:000413130900018