Algebraic & Geometric Topology Volume 17, issue 6 (2017)

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Nine generators of the skein space of the $3$–torus

Alessio Carrega

Algebraic & Geometric Topology 17 (2017) 3449–3460

DOI: 10.2140/agt.2017.17.3449

Bibliography

1	C Blanchet, N Habegger, G Masbaum, P Vogel, Topological quantum field theories derived from the Kauffman bracket, Topology 34 (1995) 883 MR1362791
2	D Bullock, The (2,∞)–skein module of the complement of a (2,2p + 1) torus knot, J. Knot Theory Ramifications 4 (1995) 619 MR1361084
3	D Bullock, Rings of SL₂(C)–characters and the Kauffman bracket skein module, Comment. Math. Helv. 72 (1997) 521 MR1600138
4	F Costantino, Coloured Jones invariants of links and the volume conjecture, J. Lond. Math. Soc. 76 (2007) 1 MR2351605
5	C Frohman, R Gelca, Skein modules and the noncommutative torus, Trans. Amer. Math. Soc. 352 (2000) 4877 MR1675190
6	P M Gilmer, On the Kauffman bracket skein module of the 3–torus, preprint (2016) arXiv:1604.02075
7	J Hoste, J H Przytycki, The (2,∞)–skein module of lens spaces ; a generalization of the Jones polynomial, J. Knot Theory Ramifications 2 (1993) 321 MR1238877
8	J Hoste, J H Przytycki, The (2,∞)–skein module of Whitehead manifolds, J. Knot Theory Ramifications 4 (1995) 411 MR1347362
9	J Hoste, J H Przytycki, The Kauffman bracket skein module of S¹ × S², Math. Z. 220 (1995) 65 MR1347158
10	L H Kauffman, New invariants in the theory of knots, Amer. Math. Monthly 95 (1988) 195 MR935433
11	L H Kauffman, S L Lins, Temperley–Lieb recoupling theory and invariants of 3–manifolds, 134, Princeton Univ. Press (1994) MR1280463
12	W B R Lickorish, Three-manifolds and the Temperley–Lieb algebra, Math. Ann. 290 (1991) 657 MR1119944
13	W B R Lickorish, Calculations with the Temperley–Lieb algebra, Comment. Math. Helv. 67 (1992) 571 MR1185809
14	W B R Lickorish, The skein method for three-manifold invariants, J. Knot Theory Ramifications 2 (1993) 171 MR1227009
15	W B R Lickorish, Skeins and handlebodies, Pacific J. Math. 159 (1993) 337 MR1214075
16	J Marché, The skein module of torus knots, Quantum Topol. 1 (2010) 413 MR2733247
17	M Mroczkowski, Kauffman bracket skein module of a family of prism manifolds, J. Knot Theory Ramifications 20 (2011) 159 MR2777022
18	M Mroczkowski, Kauffman bracket skein module of the connected sum of two projective spaces, J. Knot Theory Ramifications 20 (2011) 651 MR2806337
19	M Mroczkowski, M K Dabkowski, KBSM of the product of a disk with two holes and S¹, Topology Appl. 156 (2009) 1831 MR2519219
20	J H Przytycki, Skein modules of 3–manifolds, Bull. Polish Acad. Sci. Math. 39 (1991) 91 MR1194712
21	J H Przytycki, Fundamentals of Kauffman bracket skein modules, Kobe J. Math. 16 (1999) 45 MR1723531
22	J H Przytycki, Kauffman bracket skein module of a connected sum of 3–manifolds, Manuscripta Math. 101 (2000) 199 MR1742248
23	J H Przytycki, Skein modules, preprint (2006) arXiv:math/0602264
24	V G Turaev, The Conway and Kauffman modules of a solid torus, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 167 (1988) 79 MR964255