VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS-Reference-Cited by-同舟云学术

VIRTUAL KNOT PRESENTATION OF RIBBON TORUS-KNOTS

Published:2000-06 Issue:04 Volume:09 Page:531-542
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

SATOH SHIN¹

Affiliation:

1. Department of Mathematics, Osaka City University, Sumiyoshi, Osaka 558-8585, Japan

Abstract

Any ribbon torus-knot in 4-space is naturally associated with a virtual knot. We investigate a relationship between ribbon torus-knots and virtual knots from this viewpoint. We also give a new example of a non-classical virtual knots which can not be detected by the group and the Z-polynomial.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216500000293

Reference9 articles.

1. Knotted 2-Spheres in the 4-Sphere

2. RACKS AND LINKS IN CODIMENSION TWO

3. Virtual Knot Theory

4. Stably irreducible surfaces inS4

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