ON JONES POLYNOMIALS OF ALTERNATING PRETZEL KNOTS-Reference-Cited by-同舟云学术

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ON JONES POLYNOMIALS OF ALTERNATING PRETZEL KNOTS

Published:2012-12 Issue:14 Volume:21 Page:1250127
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

HARA MASAO¹,YAMAMOTO MAKOTO²

Affiliation:

1. Department of Mathematical Sciences, School of Science, Tokai University, 4-1-1 Kitakaname, Hiratsuka-shi, Kanagawa 259-1292, Japan

2. Department of Mathematics, Faculty of Science and Engineering, Chuo University, 1-13-27 Kasuga, Bunkyo-ku, Tokyo 112-8551, Japan

Abstract

We show that there are infinitely many pairs of alternating pretzel knots whose Jones polynomials are identical.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216512501271

Reference16 articles.

1. A polynomial invariant for unoriented knots and links

2. Infinite families of links with trivial Jones polynomial

3. A new polynomial invariant of knots and links

4. DEGREES OF THE JONES POLYNOMIALS OF CERTAIN PRETZEL LINKS

5. Some links with non-adequate minimal-crossing diagrams

Cited by 3 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. An estimate of the Rasmussen invariant for links and the determination for certain links;Topology and its Applications;2015-12

2. Colored HOMFLY polynomials for the pretzel knots and links;Journal of High Energy Physics;2015-07

3. Colored knot polynomials for arbitrary pretzel knots and links;Physics Letters B;2015-04

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