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...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Elsevier
2024-04-01
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Series: | Heliyon |
Subjects: | |
Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844024049764 |