Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777775 | Topology and its Applications | 2017 | 19 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Seiichi Kamada, Kengo Kawamura,