The head and tail of the Colored Jones polynomial for adequate knots
Document Type
Article
Publication Date
1-1-2017
Abstract
We show that the head and tail functions of the colored Jones polynomial of adequate links are the product of head and tail functions of the colored Jones polynomial of alternating links that can be read-off an adequate diagram of the link. We apply this to strengthen a theorem of Kalfagianni, Futer and Purcell on the fiberedness of adequate links.
Publication Source (Journal or Book title)
Proceedings of the American Mathematical Society
First Page
1317
Last Page
1367
Recommended Citation
Armond, C., & Dasbach, O. (2017). The head and tail of the Colored Jones polynomial for adequate knots. Proceedings of the American Mathematical Society, 145 (3), 1317-1367. https://doi.org/10.1090/proc/13211
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