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We confirm the AJ conjecture [Ga04] that relates the A-polynomial and the colored Jones polynomial for those hyperbolic knots satisfying certain conditions.
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D. Bullock and J. Przytycki, Multiplicative structure of Kauffman bracket skein module quantizations
2000
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C. Frohman and R. Gelca, Skein modules and the noncommutative torus
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J. Przytycki and A. Sikora, On the skein algebras and S l 2 ( ℂ ) Sl_{2}(\mathbb{C}) -character varieties
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C. Frohman, R. Gelca, and W. Lofaro, The A-polynomial from the noncommutative viewpoint
2002
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R. Gelca, On the relation between the A-polynomial and the Jones polynomial
2002
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C. Bertone, G. Chèze, and A. Galligo, Modular Las Vegas algorithms for polynomial absolute factorization
2010
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J. Marche, The skein module of torus knots
2010
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S. Garoufalidis, The Jones slopes of a knot
2011
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M. Macasieb, K. Petersen and R. van Luijk, On character varieties of two-bridge knot groups
2011
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2012
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A. Sikora, Character varieties
2012
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T. Le, On Kauffman bracket skein modules at root of unity
2013
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A. Tran, Proof of a stronger version of the AJ conjecture for torus knots
2013
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T. Le and A. Tran, The Kauffman bracket skein module of two-bridge links
2014
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