Ribbon-clasp surface-links and normal forms of immersed surface-links
Ribbon-clasp surface-links and normal forms of immersed surface-links
复制标题
带扣表面链接和浸入式表面链接的标准形式
DOI：
10.1016/j.topol.2017.08.033
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发表时间：
2017
影响因子：
0.6
通讯作者：
Kawamura Kengo
中科院分区：
文献类型：
--
作者：
Kamada Seiichi;Kawamura Kengo
我们引入了带扣表面链的概念，它是带状表面链的推广。我们将嵌入曲面连杆的正规形式的概念推广到浸入曲面连杆的情况，并证明了任何浸入曲面连杆都可以用正规形式来描述。我们知道，当且仅当一个内嵌曲面连杆可以用对称范式描述时，它就是带状曲面连杆。当且仅当浸入式表面连杆可以用对称范式描述时，我们证明了它是扣带式表面连杆。我们还引入了带扣范式的概念，这是对称范式的一个简单版本。
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.