The A-polynomial from the noncommutative viewpoint

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We develop an invariant of knots that depends on a complex parameter t, describing a left ideal in the noncommutative torus. When the parameter is set equal to -1 we recover the A-polynomial of the knot. We relate the invariant to the colored Jones polynomials of the knot.
13 pages, Latex, 3 diagrams, epsfig

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Quantum Algebra, Geometric Topology, Operator Algebras, 57M99, 46L87

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http://salesiana.dossiersoluciones.com/handle/123456789/77817

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9812048
 http://arxiv.org/abs/math/9812048

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arXiv