20 citations · 28 across the 4 of their papers we have counts for
4 papers
On the AJ conjecture for knots
Thang T. Q. Le, Anh T. Tran
We confirm the AJ conjecture [Ga04] that relates the A-polynomial and the colored Jones polynomial for those hyperbolic knots satisfying certain conditions. In particular, we show…
Twisted Alexander polynomial of links in the projective space
Vu Q. Huynh, Thang T. Q. Le
We use Reidemeister torsion to study a twisted Alexander polynomial, as defined by Turaev, for links in the projective space. Using sign-refined torsion we derive a skein relation…
Non-abelian Reidemeister torsion for twist knots
Jérôme Dubois, Vu Huynh, Yoshikazu Yamaguchi
This paper gives an explicit formula for the SL_2(C)-non-abelian Reidemeister torsion as defined in [Dub06] in the case of twist knots. For hyperbolic twist knots, we also prove th…
On the Colored Jones Polynomial and the Kashaev invariant
Vu Huynh, Thang T. Q. Le
We express the colored Jones polynomial as the inverse of the quantum determinant of a matrix with entries in the -Weyl algebra of -operators, evaluated at the trivial functi…