The A-polynomial from the noncommutative viewpoint

Details The A-polynomial from the noncommutative viewpoint The A-polynomial from the noncommutative viewpoint

1998-12-08

arxiv.org/abs/math/9812048v1

Mathematics

Quantum Algebra

13 pages, Latex, 3 diagrams, epsfig

Scientific paper

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.

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