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The zero stability for the one-row colored $\mathfrak{sl}_3$-Jones polynomial

Wataru Yuasa

Algebraic & Geometric Topology 25 (2025) 1917–1944
Bibliography
1 C Armond, The head and tail conjecture for alternating knots, Algebr. Geom. Topol. 13 (2013) 2809 MR3116304
2 C Armond, O T Dasbach, Rogers–Ramanujan type identities and the head and tail of the colored Jones polynomial, preprint (2011) arXiv:1106.3948
3 C Armond, O T Dasbach, The head and tail of the colored Jones polynomial for adequate knots, Proc. Amer. Math. Soc. 145 (2017) 1357 MR3589331
4 P Beirne, R Osburn, q-series and tails of colored Jones polynomials, Indag. Math. 28 (2017) 247 MR3597046
5 O T Dasbach, X S Lin, On the head and the tail of the colored Jones polynomial, Compos. Math. 142 (2006) 1332 MR2264669
6 O T Dasbach, X S Lin, A volumish theorem for the Jones polynomial of alternating knots, Pacific J. Math. 231 (2007) 279 MR2346497
7 M Elhamdadi, M Hajij, Pretzel knots and q-series, Osaka J. Math. 54 (2017) 363 MR3657236
8 C Frohman, A S Sikora, SU(3)-skein algebras and webs on surfaces, Math. Z. 300 (2022) 33 MR4359515
9 S Garoufalidis, T T Q Lê, Nahm sums, stability and the colored Jones polynomial, Res. Math. Sci. 2 (2015) 1 MR3375651
10 S Garoufalidis, H Morton, T Vuong, The SL3 colored Jones polynomial of the trefoil, Proc. Amer. Math. Soc. 141 (2013) 2209 MR3034446
11 S Garoufalidis, S Norin, T Vuong, Flag algebras and the stable coefficients of the Jones polynomial, European J. Combin. 51 (2016) 165 MR3398846
12 S Garoufalidis, T Vuong, A stability conjecture for the colored Jones polynomial, Topology Proc. 49 (2017) 215 MR3570390
13 M Hajij, The tail of a quantum spin network, Ramanujan J. 40 (2016) 135 MR3485997
14 K Kawasoe, The one-row-colored 𝔰𝔩3 Jones polynomials for pretzel links, J. Knot Theory Ramifications 32 (2023) 2250105 MR4557482
15 A Keilthy, R Osburn, Rogers–Ramanujan type identities for alternating knots, J. Number Theory 161 (2016) 255 MR3435728
16 D Kim, Trihedron coefficients for 𝒰q(𝔰𝔩(3, )), J. Knot Theory Ramifications 15 (2006) 453 MR2221529
17 D Kim, Jones–Wenzl idempotents for rank 2 simple Lie algebras, Osaka J. Math. 44 (2007) 691 MR2360947
18 G Kuperberg, Spiders for rank 2 Lie algebras, Comm. Math. Phys. 180 (1996) 109 MR1403861
19 R Lawrence, The PSU(3) invariant of the Poincaré homology sphere, Topology Appl. 127 (2003) 153 MR1953324
20 T T Q Lê, Integrality and symmetry of quantum link invariants, Duke Math. J. 102 (2000) 273 MR1749439
21 T Ohtsuki, S Yamada, Quantum SU(3) invariant of 3-manifolds via linear skein theory, J. Knot Theory Ramifications 6 (1997) 373 MR1457194
22 M Rosso, V Jones, On the invariants of torus knots derived from quantum groups, J. Knot Theory Ramifications 2 (1993) 97 MR1209320
23 A S Sikora, B W Westbury, Confluence theory for graphs, Algebr. Geom. Topol. 7 (2007) 439 MR2308953
24 W Yuasa, The 𝔰𝔩3 colored Jones polynomials for 2-bridge links, J. Knot Theory Ramifications 26 (2017) 1750038 MR3660093
25 W Yuasa, A q-series identity via the 𝔰𝔩3 colored Jones polynomials for the (2,2m)-torus link, Proc. Amer. Math. Soc. 146 (2018) 3153 MR3787374
26 W Yuasa, Twist formulas for one-row colored A2 webs and 𝔰𝔩3 tails of (2,2m)-torus links, Acta Math. Vietnam. 46 (2021) 369 MR4264242