Cyclotomic expansions for double twist knots with an odd number of half-twists

2023/08/31 by Qingtao Chen, Kefeng Liu, Chen, Qingtao +3
Mathematics · Computer Science · #Geometric and Algebraic Topology #Advanced Combinatorial Mathematics #semigroups and automata theory

paper · pdf · doi:10.48550/arxiv.2308.16749

Abstract

In this note, we compute the cyclotomic expansion formula for colored Jones polynomial of double twist knots with an odd number of half-twists K_p,(s)/(2) by using the Kauffman bracket skein theory. It answers a question proposed by Lovejoy and Osburn in 2019.

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