Volume 15, issue 2 (2015)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
On Kauffman bracket skein modules at roots of unity

Thang T Q Lê

Algebraic & Geometric Topology 15 (2015) 1093–1117
Bibliography
1 C Blanchet, N Habegger, G Masbaum, P Vogel, Three-manifold invariants derived from the Kauffman bracket, Topology 31 (1992) 685 MR1191373
2 F Bonahon, H Wong, Representations of the Kauffman skein algebra I: Invariants and miraculous cancellations, arXiv:1206.1638
3 F Bonahon, H Wong, Quantum traces for representations of surface groups in $\mathrm{SL}_2(\mathbb C)$, Geom. Topol. 15 (2011) 1569 MR2851072
4 D Bullock, Rings of $\mathrm{SL}_2(\mathbb{C})$–characters and the Kauffman bracket skein module, Comment. Math. Helv. 72 (1997) 521 MR1600138
5 D Bullock, C Frohman, J Kania-Bartoszyńska, Understanding the Kauffman bracket skein module, J. Knot Theory Ramifications 8 (1999) 265 MR1691437
6 D Bullock, J H Przytycki, Multiplicative structure of Kauffman bracket skein module quantizations, Proc. Amer. Math. Soc. 128 (2000) 923 MR1625701
7 V V Fok, L O Chekhov, Quantum Teichmüller spaces, Teoret. Mat. Fiz. 120 (1999) 511 MR1737362
8 C Frohman, R Gelca, Skein modules and the noncommutative torus, Trans. Amer. Math. Soc. 352 (2000) 4877 MR1675190
9 R M Kashaev, Quantization of Teichmüller spaces and the quantum dilogarithm, Lett. Math. Phys. 43 (1998) 105 MR1607296
10 L H Kauffman, State models and the Jones polynomial, Topology 26 (1987) 395 MR899057
11 T T Q Lê, The colored Jones polynomial and the $A$–polynomial of knots, Adv. Math. 207 (2006) 782 MR2271986
12 T T Q Lê, A T Tran, The Kauffman bracket skein module of two-bridge links, Proc. Amer. Math. Soc. 142 (2014) 1045 MR3148538
13 W B R Lickorish, An introduction to knot theory, Graduate Texts in Math. 175, Springer (1997) MR1472978
14 J Marché, The skein module of torus knots, Quantum Topol. 1 (2010) 413 MR2733247
15 J H Przytycki, Fundamentals of Kauffman bracket skein modules, Kobe J. Math. 16 (1999) 45 MR1723531
16 J H Przytycki, A S Sikora, On skein algebras and $\mathrm{SL}_2(\mathbb{C})$–character varieties, Topology 39 (2000) 115 MR1710996
17 A S Sikora, Skein modules at the $4^{\text{th}}$ roots of unity, J. Knot Theory Ramifications 13 (2004) 571 MR2080123
18 V G Turaev, Skein quantization of Poisson algebras of loops on surfaces, Ann. Sci. École Norm. Sup. 24 (1991) 635 MR1142906