Algebraic & Geometric Topology Volume 22, issue 6 (2022)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Colored Jones polynomials without tails

Christine Ruey Shan Lee and Roland van der Veen

Algebraic & Geometric Topology 22 (2022) 2857–2865

DOI: 10.2140/agt.2022.22.2857

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	A Champanerkar, I Kofman, On the tail of Jones polynomials of closed braids with a full twist, Proc. Amer. Math. Soc. 141 (2013) 2557 MR3043035
5	F Costantino, Integrality of Kauffman brackets of trivalent graphs, Quantum Topol. 5 (2014) 143 MR3229040
6	O T Dasbach, X S Lin, On the head and the tail of the colored Jones polynomial, Compos. Math. 142 (2006) 1332 MR2264669
7	S Garoufalidis, T T Q Lê, Nahm sums, stability and the colored Jones polynomial, Res. Math. Sci. 2 (2015) MR3375651
8	S Garoufalidis, C R S Lee, R van der Veen, The slope conjecture for Montesinos knots, Internat. J. Math. 31 (2020) MR4123945
9	S Garoufalidis, R van der Veen, Quadratic integer programming and the slope conjecture, New York J. Math. 22 (2016) 907 MR3548130
10	S Garoufalidis, T Vuong, A stability conjecture for the colored Jones polynomial, Topology Proc. 49 (2017) 211 MR3570390
11	M Hajij, The colored Kauffman skein relation and the head and tail of the colored Jones polynomial, J. Knot Theory Ramifications 26 (2017) MR3627702
12	V F R Jones, Hecke algebra representations of braid groups and link polynomials, Ann. of Math. 126 (1987) 335 MR908150
13	C R S Lee, A trivial tail homology for non-A–adequate links, Algebr. Geom. Topol. 18 (2018) 1481 MR3784011
14	C R S Lee, R van der Veen, Slopes for pretzel knots, New York J. Math. 22 (2016) 1339 MR3576292
15	X Leng, Z Yang, X Liu, The slope conjectures for 3–string Montesinos knots, New York J. Math. 25 (2019) 45 MR3904877
16	D P Thurston, The algebra of knotted trivalent graphs and Turaev’s shadow world, from: "Invariants of knots and 3–manifolds" (editors T Ohtsuki, T Kohno, T Le, J Murakami, J Roberts, V Turaev), Geom. Topol. Monogr. 4, Geom. Topol. Publ. (2002) 337 MR2048108
17	V G Turaev, The Yang–Baxter equation and invariants of links, Invent. Math. 92 (1988) 527 MR939474
18	R van der Veen, The volume conjecture for augmented knotted trivalent graphs, Algebr. Geom. Topol. 9 (2009) 691 MR2496886