Affiliation:
1. Department of Mathematics, Osaka City University, Sumiyoshi-ku, Osaka 558-8585, Japan
Abstract
We first introduce the null-homotopically peripheral quadratic function of a surface-link to obtain a lot of pseudo-ribbon, non-ribbon surface-links, generalizing a known property of the turned spun torus-knot of a non-trivial knot. Next, we study the torsion linking of a surface-link to show that the torsion linking of every pseudo-ribbon surface-link is the zero form, generalizing a known property of a ribbon surface-link. Further, we introduce and algebraically estimate the triple point cancelling number of a surface-link.
Publisher
World Scientific Pub Co Pte Lt
Subject
Algebra and Number Theory
Cited by
13 articles.
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1. No surface-knot of genus one has triple point number two;Journal of Knot Theory and Its Ramifications;2018-10
2. Covering diagrams over surface-knot diagrams;Journal of Knot Theory and Its Ramifications;2018-05
3. Surface-Knots in 4-Space;Springer Monographs in Mathematics;2017
4. Pseudo-cycles of surface-knots;Journal of Knot Theory and Its Ramifications;2016-11
5. UNKNOTTING NUMBERS AND TRIPLE POINT CANCELLING NUMBERS OF TORUS-COVERING KNOTS;Journal of Knot Theory and Its Ramifications;2013-03