THE NONCOMMUTATIVE A-IDEAL OF A (2, 2p + 1)-TORUS KNOT DETERMINES ITS JONES POLYNOMIAL

DOI10.1142/S021821650300238XzbMath1034.57005arXivmath/0201100OpenAlexW1982211104MaRDI QIDQ4414984

Razvan Gelca, Jeremy Sain

Publication date: 23 October 2003

Published in: Journal of Knot Theory and Its Ramifications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0201100

zbMATH Keywords

torus knotcolored Jones polynomialKauffman bracket skein moduleA-polynomialA-ideal

Mathematics Subject Classification ID

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Cites Work

• State models and the Jones polynomial
• Plane curves associated to character varieties of 3-manifolds
• Rings of \(SL_2(\mathbb{C})\)-characters and the Kauffman bracket skein module
• Invariants of 3-manifolds via link polynomials and quantum groups
• Skein modules and the noncommutative torus
• THE (2, ∞)-SKEIN MODULE OF THE COMPLEMENT OF A (2, 2p+1) TORUS KNOT