Ribbon-clasp surface-links and normal forms of singular surface-links
Geometric Topology
2016-02-26 v1
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.
Keywords
Cite
@article{arxiv.1602.07855,
title = {Ribbon-clasp surface-links and normal forms of singular surface-links},
author = {Seiichi Kamada and Kengo Kawamura},
journal= {arXiv preprint arXiv:1602.07855},
year = {2016}
}