On construction of surface-knots-Reference-Cited by-同舟云学术

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On construction of surface-knots

Published:2016-09 Issue:10 Volume:25 Page:1650053
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Mohamad A.¹,Yashiro T.²

Affiliation:

1. Mathematics Division, Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P. O. Box 33, PC 616 Birkat, Al Mouz, Nizwa, Sultanate of Oman

2. Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P. O. Box 36, P.C. 123 Al-Khoud, Muscat, Sultanate of Oman

Abstract

In this paper, we present a construction of a family of surface-knot diagrams with cross-exchangeable curves, along which we can change the crossing information to obtain trivial diagrams. These diagrams also satisfy a kind of minimality, called [Formula: see text]-minimal surface-knot diagrams.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821651650053X

Reference15 articles.

1. Mathematical Surveys and Monographs;Carter J. S.,1998

2. Towards a classical knot theory for surfaces in $\mathbf{R}^{4}$

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Covering diagrams over surface-knot diagrams;Journal of Knot Theory and Its Ramifications;2018-05

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