The head and tail conjecture for alternating knots

Cody Armond

doi:10.2140/agt.2013.13.2809

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Home > Journals > Algebr. Geom. Topol. > Volume 13 > Issue 5 > Article

2013 The head and tail conjecture for alternating knots

Cody Armond

Algebr. Geom. Topol. 13(5): 2809-2826 (2013). DOI: 10.2140/agt.2013.13.2809

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Abstract

We investigate the coefficients of the highest and lowest terms (also called the head and the tail) of the colored Jones polynomial and show that they stabilize for alternating links and for adequate links. To do this we apply techniques from skein theory.

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Cody Armond. "The head and tail conjecture for alternating knots." Algebr. Geom. Topol. 13 (5) 2809 - 2826, 2013. https://doi.org/10.2140/agt.2013.13.2809