33 citations · 79 across the 18 of their papers we have counts for
4 papers · 2 filters
A note on Riley polynomials of -bridge knots
Teruaki Kitano, Takayuki Morifuji
In this short note we show the existence of an epimorphism between groups of -bridge knots by means of an elementary argument using the Riley polynomial. As a corollary, we give…
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…
Some numerical computations on Reidemeister torsion for homology 3-spheres obtained by Dehn surgeries along the figure-eight knot
Teruaki Kitano
We show some computations on representations of the fundamental group in SL(2;C) and Reidemeister torsion for a homology 3-sphere obtained by Dehn surgery along the figure-eight kn…
A polynomial defined by the -Reidemeister torsion for a homology 3-sphere obtained by Dehn-surgery along a torus knot
Teruaki Kitano
Let be a homology 3-sphere obtained by -Dehn surgery along a -torus knot. We consider a polynomial whose zeros are the inverses of the Reidei…