VIRTUAL ARC PRESENTATIONS AND HC-MOVES OF RIBBON 2-KNOTS-Reference-Cited by-同舟云学术

VIRTUAL ARC PRESENTATIONS AND HC-MOVES OF RIBBON 2-KNOTS

Published:2002-05 Issue:03 Volume:11 Page:387-402
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

KANENOBU TAIZO¹

Affiliation:

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

Abstract

The HC-move was defined as an unknotting operation of a ribbon 2-knot. Representing a ribbon 2-knot by a virtual arc, we see that the HC-move corresponds to one of the "forbidden moves", which unknot every virtual knot. Using this, we consider the α2-invariant of a ribbon 2-knot and a relation between the Δ-move for a 1-knot and the HC-move for its spun 2-knot.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821650200169X

Reference17 articles.

1. A note on spun knots

2. Finite-type invariants of classical and virtual knots

3. ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS

4. RECURSIVE CALCULATION FOR AN INVARIANT OF A RIBBON KNOT

5. AN UNKNOTTING OPERATION ON RIBBON 2-KNOTS

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