Jun Ueki

activity

20242026

collaborators

3 papers

math.GT2026

Multiplicity of non-acyclic $SL_{2}$ -representations and L-functions of the odd-twisted Whitehead links

LÃ©o BÃ©nard, Ryoto Tange, Anh T. Tran +1

We study the divisor of the Reidemeister torsion on the variety of irreducible $SL_{2} C$ -characters of certain knots and links, and provide a geometric interpretation…

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.GT2024

Modular knots obey the Chebotarev law

Jun Ueki

We study knots which behave like prime numbers. We discuss the planetary link raised from a hyperbolic fibered link in $S^{3}$ with an emphasis on surgeries, point out certain subtle…

Multiplicity of non-acyclic SL2​-representations and L-functions of the odd-twisted Whitehead links

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

Modular knots obey the Chebotarev law

Multiplicity of non-acyclic $SL_{2}$ -representations and L-functions of the odd-twisted Whitehead links

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