The A-polynomial from the noncommutative viewpoint
  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. 
Charles Frohman, Razvan Gelca, Walter Lofaro