On gauss codes of virtual doodles-Reference-Cited by-同舟云学术

On gauss codes of virtual doodles

Published:2018-10 Issue:11 Volume:27 Page:1843013
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Bartholomew Andrew¹,Fenn Roger¹,Kamada Naoko²,Kamada Seiichi³

Affiliation:

1. School of Mathematical Sciences, University of Sussex, Falmer, Brighton, BN1 9RH, England

2. Graduate School of Natural Sciences, Nagoya City University, Nagoya, Aichi 467-8501, Japan

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

Abstract

We discuss Gauss codes of virtual diagrams and virtual doodles. The notion of a left canonical Gauss code is introduced and it is shown that oriented virtual doodles are uniquely presented by left canonical Gauss codes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216518430137

Reference7 articles.

1. STABLE EQUIVALENCE OF KNOTS ON SURFACES AND VIRTUAL KNOT COBORDISMS

2. London Mathematical Society Lecture Note Series;Fenn R.,1983

3. (1, 2) AND WEAK (1, 3) HOMOTOPIES ON KNOT PROJECTIONS

4. ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS

5. Doodle groups

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