Virtual Knots with Properties of Kishino’s Knot-Reference-Cited by-同舟云学术

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Virtual Knots with Properties of Kishino’s Knot

Published:2022-01-01 Issue:-1 Volume:-1 Page:
ISSN:0387-3870
Container-title:Tokyo Journal of Mathematics
language:
Short-container-title:Tokyo J. Math.

Author:

Ohyama Yoshiyuki¹,Sakurai Migiwa²

Affiliation:

1. Department of Mathematics, School of Arts and Sciences, Tokyo Woman’s Christian University, 2–6–1 Zempukuji, Suginami-ku, Tokyo 167–8585, Japan.

2. Department of Materials Science and Engineering, College of Engineering, Shibaura Institute of Technology, 307 Fukasaku, Minuma-ku, Saitama-shi, Saitama 337–8570, Japan.

Publisher

Tokyo Journal of Mathematics

Subject

General Mathematics

Reference14 articles.

1. [1] Z. Cheng, A polynomial invariant of virtual knots, Proc. Amer. Math. Soc. 142 (2014), no. 2, 713–725.

2. [2] H. A. Dye and L. H. Kauffman, Virtual crossing number and the arrow polynomial, J. Knot Theory Ramifications 18 (2009), no. 10, 1335–1357. MR2583800 (2010m:57011).

3. [3] A. Henrich, A sequence of degree one Vassiliev invariants for virtual knots, J. Knot Theory Ramifications 19 (2010), no. 4, 461–487.

4. [4] R. Higa, T. Nakamura, Y. Nakanishi and S. Satoh, The intersection polynomials of a virtual knot, preprint (2021), .

5. [5] A. Ishii, The pole diagram and the Miyazawa polynomial, International J. of Math. 19 (2008), 193–207. MR2384899 (2009m:57022).

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