Now showing items 1-3 of 3

    • 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 ...
    • The Asymptotics of the Higher Dimensional Reidemeister Torsion for Exceptional Surgeries Along Twist Knots 

      Tran, Anh T.; Yamaguchi, Yoshikazu
      We determine the asymptotic behavior of the higher dimensional Reidemeister torsion for the graph manifolds obtained by exceptional surgeries along twist knots. We show that all irreducible SL2