5 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…
Gang-Kim-Yoon integrality conjectures on adjoint Reidemeister torsions for torus knots
Yuji Terashima, Yoshikazu Yamaguchi
We study the conjecture that a sum of the (g-1)st powers of adjoint Reidemeister torsions for a torus knot is an integer. We prove that the conjecture is true for any torus knot an…
Quantized six-vertex model on a torus
Rei Inoue, Atsuo Kuniba, Yuji Terashima +1
We study the integrability of the quantized six-vertex model with four parameters on a torus. It is a three-dimensional integrable lattice model in which a layer transfer matrix, d…
Solutions of Tetrahedron Equation from Quantum Cluster Algebra Associated with Symmetric Butterfly Quiver
Rei Inoue, Atsuo Kuniba, Xiaoyue Sun +2
We construct a new solution to the tetrahedron equation by further pursuing the quantum cluster algebra approach in our previous works. The key ingredients include a symmetric butt…
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…