Anh T. Tran

activity

20092026

most citedTwisted Alexander polynomials of 2-bridge knots for parabolic representations

25 citations · 94 across the 36 of their papers we have counts for

collaborators

Showing 2020Show all

7 papers · 1 filter

math.GT2020

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 $n$ -th root of unity with odd $n$ for a Seifert fibered space obtained…

math.GT2020

Left orderability of cyclic branched covers of rational knots $C (2 n + 1, 2 m, 2)$

Bradley Meyer, Anh T. Tran

We compute the nonabelian $S L_{2} (C)$ -character varieties of the rational knots $C (2 n + 1, 2 m, 2)$ in the Conway notation, where $m$ and $n$ are non-zero integers. By s…

math.GT2020

Classical pretzel knots and left orderability

Arafat Khan, Anh T. Tran

We consider the classical pretzel knots $P (a_{1}, a_{2}, a_{3})$ , where $a_{1}, a_{2}, a_{3}$ are positive odd integers. By using continuous paths of elliptic $SL_{2} (R)$ -repres…

math.GT2020

The colored Jones polynomial of a cable of the figure-eight knot

Hitoshi Murakami, Anh T. Tran

We study the asymptotic behavior of the $N$ -dimensional colored Jones polynomial of a cable of the figure-eight knot, evaluated at $exp (ξ / N)$ for a real number $ξ$ . We show that i…

math.GT2020

The strong AJ conjecture for the figure eight knot

Hoang-An Nguyen, Anh T. Tran

Motivated by the theory of quantum A-ideals of Frohman-Gelca-LoFaro, the theory of q-holonomicity of quantum invariants of Garoufalidis-Le and the AJ conjecture of Garoufalidis, Si…

math.GT2020

Non-acyclic $SL_{2}$ -representations of twist knots, $- 3$ -Dehn surgeries, and $L$ -functions

Ryoto Tange, Anh T. Tran, Jun Ueki

We study irreducible $SL_{2}$ -representations of twist knots. We first determine all non-acyclic $SL_{2} (C)$ -representations, which turn out to lie on a line denot…

math.GT2020★ 3 cited

Left orderable surgeries of double twist knots II

Vu The Khoi, Masakazu Teragaito, Anh T. Tran

A slope $r$ is called a left orderable slope of a knot $K \subset S^{3}$ if the 3-manifold obtained by $r$ -surgery along $K$ has left orderable fundamental group. Consider two-bridge…

Quantum invariants of three-manifolds obtained by surgeries along torus knots

Left orderability of cyclic branched covers of rational knots C(2n+1,2m,2)

Classical pretzel knots and left orderability

The colored Jones polynomial of a cable of the figure-eight knot

The strong AJ conjecture for the figure eight knot

Non-acyclic SL2​-representations of twist knots, −3-Dehn surgeries, and L-functions

Left orderable surgeries of double twist knots II

Left orderability of cyclic branched covers of rational knots $C (2 n + 1, 2 m, 2)$

Non-acyclic $SL_{2}$ -representations of twist knots, $- 3$ -Dehn surgeries, and $L$ -functions