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On construction of surface-knots

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

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T. Yashiro

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

E-mail Address: tsukasa.yashiro@gmail.com

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https://doi.org/10.1142/S021821651650053XCited by:1 (Source: Crossref)

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 $d$ -minimal surface-knot diagrams.

Keywords:

AMSC: 57Q45, 57M25

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