12 citations · 50 across the 16 of their papers we have counts for
16 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…
Dynamical zeta functions for geodesic flows and the higher-dimensional Reidemeister torsion for Fuchsian groups
Yoshikazu Yamaguchi
We show that the absolute value at zero of the Ruelle zeta function defined by the geodesic flow coincides with the higher-dimensional Reidemeister torsion for the unit tangent bun…
Higher dimensional twisted Alexander polynomials for metabelian representations
Anh T. Tran, Yoshikazu Yamaguchi
We study the asymptotic behavior of the twisted Alexander polynomial for the sequence of SL(n ,C)-representations induced from an irreducible metabelian SL(2, C)-representation of…
The asymptotics of the higher dimensional Reidemeister torsion for exceptional surgeries along twist knots
Anh T. Tran, Yoshikazu Yamaguchi
We determine the asymptotic behavior of the higher dimensional Reidemeister torsion for the graph manifolds obtained by exceptional surgeries along twist knots. We show that all ir…
SL(2;R)-representations of a Brieskorn homology 3-sphere
Teruaki Kitano, Yoshikazu Yamaguchi
We classify SL(2;C)-representations of a Brieskorn homology 3-sphere. We show any irreducible representation into SL(2;C) is conjugate to that into either SU(2) or SL(2;R). We also…
The asymptotic behavior of the Reidemeister torsion for Seifert manifolds and PSL(2;R)-representations of Fuchsian groups
Yoshikazu Yamaguchi
We show that a PSL(2;R)-representation of a Fuchsian group induces the asymptotics of the Reidemeister torsion for the Seifert manifold corresponding to the euler class of the PSL(…