Restrictions on Homflypt and Kauffman polynomials arising from local moves-Reference-Cited by-同舟云学术

Restrictions on Homflypt and Kauffman polynomials arising from local moves

Published:2020-05 Issue:06 Volume:29 Page:2050036
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Ganzell Sandy¹^ORCID,Gonzalez Mercedes V.²,Marcum Chloe’³,Ryalls Nina⁴,Santos Mariel⁵

Affiliation:

1. St. Mary’s College of Maryland, Department of Mathematics and Computer Science, 18952 E. Fisher Rd., St. Mary’s City, MD 20686, USA

2. Southwestern University, 1001 E. University Ave., SU Box 6642, Georgetown, TX 78626, USA

3. Marshall University, 30 Meadow Lane, Huntington, WV 25704, USA

4. University of Dallas, PO Box 427, Univ. of Dallas, 1845 E. Northgate Dr., Irving, TX 75062, USA

5. St. Mary’s College of Maryland, 16800 Point Lookout Rd., Campus Center #2142, St. Mary’s City, MD 20686, USA

Abstract

We study the effects of certain local moves on Homflyptand Kauffman polynomials. We show that all Homflypt(or Kauffman) polynomials are equal in a certain nontrivial quotient of the Laurent polynomial ring. As a consequence, we discover some new properties of these invariants.

Funder

National Science Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216520500364

Reference10 articles.

1. A new polynomial invariant of knots and links

2. Local moves and restrictions on the Jones polynomial

3. Unoriented links and the Jones polynomial

4. A polynomial invariant for knots via von Neumann algebras

5. Hecke Algebra Representations of Braid Groups and Link Polynomials

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