4 papers
Integrality of genus- 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…
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…
Liminal -representations and odd-th cyclic covers of genus one two-bridge knots
Honami Sakamoto, Ryoto Tange, Jun Ueki
Let be a prime number and let be a genus one two-bridge knot. In the spirit of arithmetic topology, we observe that if divides the size of the 1st homology group of som…
On the Burde--de Rham theorem for finitely presented pro- groups
Yasushi Mizusawa, Ryoto Tange, Yuji Terashima
We consider the Burde--de Rham theorem for finitely presented pro- groups under the assumption that the total degrees of all relators are . We also give some concrete example…