25 citations · 94 across the 36 of their papers we have counts for
51 papers · 1 filter
Algebraic properties of twisted Alexander polynomial and Reidemeister torsion of torus knots
Takayuki Morifuji, Anh T. Tran
In this paper we prove that every coefficient of twisted Alexander polynomials of torus knots associated with irreducible -representations is an -val…
Multiplicity of non-acyclic -representations and L-functions of the odd-twisted Whitehead links
Léo Bénard, Ryoto Tange, Anh T. Tran +1
We study the divisor of the Reidemeister torsion on the variety of irreducible -characters of certain knots and links, and provide a geometric interpretation…
Genera and crossing numbers of -bridge knots
Masaaki Suzuki, Anh T. Tran
In this paper, we determine the average genus of all the -bridge knots with a given crossing number. As a consequence, we obtain the oblique asymptote of this value as the cross…
Adjoint Reidemeister torsions of once-punctured torus bundles
Anh T. Tran, Yoshikazu Yamaguchi
Gang, Kim and Yoon have recently proposed a conjecture on a vanishing identity of adjoint Reidemeister torsions of hyperbolic 3-manifolds with torus boundary, from the viewpoint of…
On the asymptotic behavior of the colored Jones polynomial of the figure-eight knot associated with a real number
Hitoshi Murakami, Anh T. Tran
We study the asymptotic behavior of the -dimensional colored Jones polynomial evaluated at for a real number greater than a certain constant. We prove that, from…
Quantum invariants of three-manifolds obtained by surgeries along torus knots
Hitoshi Murakami, Anh T. Tran
We study the asymptotic behavior of the Witten-Reshetikhin-Turaev invariant associated with the square of the -th root of unity with odd for a Seifert fibered space obtained…