Crosscap number three alternating knots-Reference-Cited by-同舟云学术

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Crosscap number three alternating knots

Published:2022-04 Issue:04 Volume:31 Page:
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Ito Noboru¹^ORCID,Takimura Yusuke²

Affiliation:

1. Graduate School of Mathematical Sciences, The University of Tokyo 3-8-1, Komaba, Meguro-ku, Tokyo 153-8914, Japan

2. Gakushuin Boys’ Junior High School, 1-5-1 Mejiro, Toshima-ku, Tokyo 171-0031, Japan

Abstract

We have listed all families of alternating knots with the crosscap number three.

Funder

Japan Society for the Promotion of Science

Publisher

World Scientific Pub Co Pte Ltd

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216522500262

Reference11 articles.

1. A classification of spanning surfaces for alternating links

2. Crosscaps and knotes

3. Incompressible surfaces in 2-bridge knot complements

4. Crosscap numbers of 2-bridge knots

5. Crosscap numbers of pretzel knots

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