25 citations · 94 across the 36 of their papers we have counts for
7 papers · 1 filter
Volumes of double twist knot cone-manifolds
Anh T. Tran
We give explicit formulae for the volumes of hyperbolic cone-manifolds of double twist knots, a class of two-bridge knots which includes twist knots and two-bridge knots with Conwa…
Nonabelian representations and signatures of double twist knots
Anh T. Tran
A conjecture of Riley about the relationship between real parabolic representations and signatures of two-bridge knots is verified for double twist knots.
Twisted Alexander polynomials of genus one two-bridge knots
Anh T. Tran
Morifuji computed the twisted Alexander polynomial of twist knots for nonabelian representations. In this paper we compute the twisted Alexander polynomial and the Reidemeister tor…
Reidemeister torsion and Dehn surgery on twist knots
Anh T. Tran
We compute the Reidemeister torsion of the complement of a twist knot in and that of the 3-manifold obtained by a Dehn surgery on a twist knot.
On the AJ conjecture for cable knots
Anh T. Tran
We study the AJ conjecture for -cables of a knot, where is an odd integer. Using skein theory, we show that the AJ conjecture holds true for most -cables of some…
Knot Cabling and the Degree of the Colored Jones Polynomial II
Efstratia Kalfagianni, Anh T. Tran
We continue our study of the degree of the colored Jones polynomial under knot cabling started in "Knot Cabling and the Degree of the Colored Jones Polynomial" (arXiv:1501.01574).…