Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots

Qingtao Chen; K. Liu; S. Zhu

Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots

Qingtao Chen
, K. Liu
, S. Zhu

Research output: Contribution to journal › Article

Abstract

In this short note, we prove the cyclotomic expansion formula for the colored HOMFLY-PT invariant of double twist knots, it confirms the cyclotomic expansion conjecture for SU(N)-invariants proposed in [2].

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	arXiv e-prints
Volume	math.GT/2110.03616
Publication status	Published - 7 Oct 2021

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title = "Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots",

abstract = "In this short note, we prove the cyclotomic expansion formula for the colored HOMFLY-PT invariant of double twist knots, it confirms the cyclotomic expansion conjecture for SU(N)-invariants proposed in [2].",

author = "Qingtao Chen and K. Liu and S. Zhu",

year = "2021",

month = oct,

day = "7",

language = "English",

volume = "math.GT/2110.03616",

pages = "1--12",

journal = "arXiv e-prints",

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T1 - Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots

AU - Chen, Qingtao

AU - Liu, K.

AU - Zhu, S.

PY - 2021/10/7

Y1 - 2021/10/7

N2 - In this short note, we prove the cyclotomic expansion formula for the colored HOMFLY-PT invariant of double twist knots, it confirms the cyclotomic expansion conjecture for SU(N)-invariants proposed in [2].

AB - In this short note, we prove the cyclotomic expansion formula for the colored HOMFLY-PT invariant of double twist knots, it confirms the cyclotomic expansion conjecture for SU(N)-invariants proposed in [2].

M3 - Article

VL - math.GT/2110.03616

SP - 1

EP - 12

JO - arXiv e-prints

JF - arXiv e-prints

ER -

Cyclotomic expansions for the colored HOMFLY-PT invariants of double twist knots

Abstract

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