Volume 13, issue 1 (2013)

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

Volume 25, 1 issue

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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Proof of a stronger version of the AJ Conjecture for torus knots

Anh T Tran

Algebraic & Geometric Topology 13 (2013) 609–624
Bibliography
1 D Cooper, M Culler, H Gillet, D D Long, P B Shalen, Plane curves associated to character varieties of 3-manifolds, Invent. Math. 118 (1994) 47 MR1288467
2 M Culler, P B Shalen, Varieties of group representations and splittings of 3-manifolds, Ann. of Math. 117 (1983) 109 MR683804
3 C Frohman, R Gelca, W Lofaro, The A-polynomial from the noncommutative viewpoint, Trans. Amer. Math. Soc. 354 (2002) 735 MR1862565
4 S Garoufalidis, On the characteristic and deformation varieties of a knot, from: "Proceedings of the Casson Fest" (editors C Gordon, Y Rieck), Geom. Topol. Monogr. 7 (2004) 291 MR2172488
5 S Garoufalidis, T T Q Lê, The colored Jones function is q-holonomic, Geom. Topol. 9 (2005) 1253 MR2174266
6 R Gelca, On the relation between the A-polynomial and the Jones polynomial, Proc. Amer. Math. Soc. 130 (2002) 1235 MR1873802
7 K Hikami, Difference equation of the colored Jones polynomial for torus knot, Internat. J. Math. 15 (2004) 959 MR2106155
8 V F R Jones, A polynomial invariant for knots via von Neumann algebras, Bull. Amer. Math. Soc. 12 (1985) 103 MR766964
9 T T Q Lê, The colored Jones polynomial and the A-polynomial of knots, Adv. Math. 207 (2006) 782 MR2271986
10 T Lê, A Tran, On the AJ conjecture for knots, to appear in Transactions of the AMS arXiv:1111.5258
11 A Lubotzky, A R Magid, Varieties of representations of finitely generated groups, Mem. Amer. Math. Soc. 58 (1985) MR818915
12 H R Morton, The coloured Jones function and Alexander polynomial for torus knots, Math. Proc. Cambridge Philos. Soc. 117 (1995) 129 MR1297899
13 N Y Reshetikhin, V G Turaev, Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127 (1990) 1 MR1036112
14 A Sikora, Quantizations of character varieties and quantum knot invariants arXiv:0807.0943