Now showing items 1-2 of 2

    • On the AJ Conjecture for Knots 

      Le, Thang T. Q.; Tran, Anh T.; Huynh, Vu Q. (2015-07-07)
      We confirm the AJ conjecture [Ga2] that relates the A-polynomial and the colored Jones polynomial for hyperbolic knots satisfying certain conditions. In particular, we show that the conjecture holds true for some classes ...
    • Knot Cabling and the Degree of the Colored Jones Polynomial 

      Kalfagianni, E.; Tran, Anh T. (University at Albany, 2015-09-16)
      We study the behavior of the degree of the colored Jones polynomial and the boundary slopes of knots under the operation of cabling. We show that, under certain hypothesis on this degree, if a knot K satisfies the Slope ...