Higher order stability in the coefficients of the colored Jones polynomial

被引：3

作者：

Hall, Katherine Walsh ^{[1
]}

机构：

[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2018年 / 27卷 / 03期

关键词：

Colored Jones polynomial; stability; higher order stability; ALTERNATING KNOTS; CONJECTURE;

D O I：

10.1142/S0218216518400102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We discuss the higher order stabilization of the coefficients of the colored Jones polynomial. In particular, we find an expression for the second stable sequence of the colored Jones polynomial of a certain class of knots. We also determine which knots have the same higher order stability.

引用

页数：26

共 50 条

[1] TWIST REGIONS AND COEFFICIENTS STABILITY OF THE COLORED JONES POLYNOMIAL
Elhamdadi, Mohamed
Hajij, Mustafa
Saito, Masahico
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 370 (07) : 5155 - 5177
[2] Stability properties of the colored Jones polynomial
Lee, Christine Ruey Shan
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2019, 28 (08)
[3] Higher order terms in the Melvin-Morton expansion of the colored Jones polynomial
Rozansky, L
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1997, 183 (02) : 291 - 306
[4] Higher order terms in the Melvin-Morton expansion of the colored Jones polynomial
L. Rozansky
[J]. Communications in Mathematical Physics, 1997, 183 : 291 - 306
[5] Nahm sums, stability and the colored Jones polynomial
Garoufalidis, Stavros
Le, Thang T. Q.
[J]. RESEARCH IN THE MATHEMATICAL SCIENCES, 2015, 2 (01)
[6] Nahm sums, stability and the colored Jones polynomial
Stavros Garoufalidis
Thang TQ Lê
[J]. Research in the Mathematical Sciences, 2
[7] On the Degree of the Colored Jones Polynomial
Kalfagianni, Efstratia
Lee, Christine
[J]. ACTA MATHEMATICA VIETNAMICA, 2014, 39 (04) : 549 - 560
[8] Categorifications of the colored Jones polynomial
Khovanov, M
[J]. JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 2005, 14 (01) : 111 - 130
[9] Asymptotics of the colored Jones polynomial and the A-polynomial
Hikami, Kazuhiro
[J]. NUCLEAR PHYSICS B, 2007, 773 (03) : 184 - 202
[10] The colored Jones polynomial and the A-polynomial of knots
Le, Thang T. Q.
[J]. ADVANCES IN MATHEMATICS, 2006, 207 (02) : 782 - 804

← 1 2 3 4 5 →