Virtual multicrossings and petal diagrams for virtual knots and links-Reference-Cited by-同舟云学术

Virtual multicrossings and petal diagrams for virtual knots and links

Published:2023-06-27 Issue:08 Volume:32 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Adams Colin¹,Even-Zohar Chaim²,Greenberg Jonah³,Kaufman Reuben⁴,Lee David⁵,Li Darin⁶,Ping Dustin⁷,Sandstrom Theodore⁸,Wang Xiwen⁹

Affiliation:

1. Department of Mathematics, Williams College, Williamstown, MA 01267, USA

2. Mathematics Department, Technion – Israel, Institute of Technology, Haifa 32000, Israel

3. 325 West End Ave, New York, NY 10023, USA

4. 506 West 113th Street, Apt. 5a, New York, NY 10025, USA

5. Department of Computer Science, 402 Gates Hall, Cornell University, Ithaca, NY 14853, USA

6. 4592 Terra Pl., San Jose, CA 95121, USA

7. 1525 Japaul Ln, San Jose, CA 95132, USA

8. Department of Mathematics, Statistics and Computer Science, University of Illinois-Chicago, Chicago, IL 60607-7045, USA

9. Department of English, University of Virginia, Charlottesville, VA 22904, USA

Abstract

Multicrossings, which have previously been defined for classical knots and links, are extended to virtual knots and links. In particular, petal diagrams are shown to exist for all virtual knots.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216523400011

Reference15 articles.

1. TRIPLE CROSSING NUMBER OF KNOTS AND LINKS

2. Quadruple crossing number of knots and links

3. Bounds on übercrossing and petal numbers for knots

4. Multi-crossing number for knots and the Kauffman bracket polynomial

5. Knot projections with a single multi-crossing