The Colored Kauffman Skein Relation and the Head and Tail of the Colored Jones Polynomial
Document Type
Article
Publication Date
2017
Keywords
The colored Jones polynomial, skin theory, the Kauffman Bracket Skein Module
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0218216517410024
Abstract
Using the colored Kauffman skein relation, we study the highest and lowest 4n coefficients of the nth unreduced colored Jones polynomial of alternating links. This gives a natural extension of a result by Kauffman in regard with the Jones polynomial of alternating links and its highest and lowest coefficients. We also use our techniques to give a new and natural proof for the existence of the tail of the colored Jones polynomial for alternating links.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Journal of Knot Theory and Its Ramifications, v. 26, issue 3, art. 1741002
Scholar Commons Citation
Hajij, Mustafa, "The Colored Kauffman Skein Relation and the Head and Tail of the Colored Jones Polynomial" (2017). Mathematics and Statistics Faculty Publications. 106.
https://digitalcommons.usf.edu/mth_facpub/106
