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

Qingtao Chen; K. Liu; S. Zhu

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

Qingtao Chen
, K. Liu
, S. Zhu

University of California at Los Angeles
Zhejiang Normal University

Research output: Contribution to journal › Article

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.

Original language	English
Pages (from-to)	1-19
Number of pages	19
Journal	arXiv e-prints
Volume	math.GT/2308.16749
Publication status	Published - 31 Aug 2023

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title = "Cyclotomic expansions for double twist knots with an odd number of half-twists",

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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AU - Liu, K.

AU - Zhu, S.

PY - 2023/8/31

Y1 - 2023/8/31

N2 - 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.

AB - 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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VL - math.GT/2308.16749

SP - 1

EP - 19

JO - arXiv e-prints

JF - arXiv e-prints

ER -

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

Abstract

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