Ryoto Tange

activity

20202026

collaborators

3 papers

math.GT2026

Integrality of genus- $g$ indices with adjoint Reidemeister torsions of twist knots

Ryoto Tange, Yuji Terashima, Yoshikazu Yamaguchi

We consider the sum of the adjoint Reidemeister torsions and prove the integrality for twist knots and the meridian. We also give some concrete examples of the generating functions…

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…

Integrality of genus-g indices with adjoint Reidemeister torsions of twist knots

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

Integrality of genus- $g$ indices with adjoint Reidemeister torsions of twist knots

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