2016/02/25 by Seiichi Kamada, Kamada, Seiichi, Kengo Kawamura +1
Biochemistry, Genetics and Molecular Biology · Mathematics · #57M25 #57M27 #57Q45 #Connective tissue disorders research #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.1602.07855
openalex publication_date 2016/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.