Twist Regions and Coefficients Stability of the Colored Jones Polynomial
Digital Object Identifier (DOI)
We prove that the coefficients of the colored Jones polynomial of alternating links stabilize under increasing the number of twists in the twist regions of the link diagram. This gives us an infinite family of -power series derived from the colored Jones polynomial parametrized by the color and the twist regions of the alternating link diagram.
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Citation / Publisher Attribution
Transactions of the American Mathematical Society, v. 370, p. 5155-5177
Scholar Commons Citation
Elhamdadi, Mohamed; Hajij, Mustafa; and Saito, Masahico, "Twist Regions and Coefficients Stability of the Colored Jones Polynomial" (2018). Mathematics and Statistics Faculty Publications. 25.