Jun Ueki

activity

20192025

collaborators

3 papers

math.GT2025

Liminal $SL_{2} Z_{p}$ -representations and odd-th cyclic covers of genus one two-bridge knots

Honami Sakamoto, Ryoto Tange, Jun Ueki

Let $p$ be a prime number and let $K$ be a genus one two-bridge knot. In the spirit of arithmetic topology, we observe that if $p$ divides the size of the 1st homology group of som…

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.GT2019

Chebotarev links are stably generic

Jun Ueki

We discuss the relationship between two analogues in a 3-manifold of the set of prime ideals in a number field. We prove that if $(K_{i})_{i \in N_{> 0}}$ is a sequence of kno…

Liminal SL2​Zp​-representations and odd-th cyclic covers of genus one two-bridge knots

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

Chebotarev links are stably generic

Liminal $SL_{2} Z_{p}$ -representations and odd-th cyclic covers of genus one two-bridge knots

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