Alexander and Jones polynomials of weaving 3-braid links and Whitney rank polynomials of Lucas lattice

In this paper, a connection is established between the Jones polynomial of generalized weaving knots of type W(3,n,m) and the Chebyshev polynomial of the first kind. Consequently, it is proved that the coefficients of the Jones polynomial of weaving knots are essentially the Whitney numbers of Lucas...

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Bibliographic Details
Main Authors: Mark E. AlSukaiti, Nafaa Chbili
Format: Article
Language:English
Published: Elsevier 2024-04-01
Series:Heliyon
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2405844024049764