24 citations · 88 across the 15 of their papers we have counts for
16 papers
Hyperbolic Volume and Twisted Alexander invariants of Knots and Links
Hiroshi Goda
Let be the twisted Alexander polynomial with respect to the representation given by the composition of the lift of the holonomy representation of a certain hyperboli…
Twisted Alexander invariants and Hyperbolic volume
Hiroshi Goda
We give a volume formula of hyperbolic knot complements using twisted Alexander invariants.
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots II
Hiroshi Goda, Chuichiro Hayashi
A knot K is called a 1-genus 1-bridge knot in a 3-manifold M if (M,K) has a Heegaard splitting (V_1,t_1)\cup (V_2,t_2) where V_i is a solid torus and t_i is a boundary parallel arc…
Genus two Heegaard splittings of exteriors of 1-genus 1-bridge knots
Hiroshi Goda, Chuichiro Hayashi
A knot K in a closed connected orientable 3-manifold M is called a 1-genus 1-bridge knot if (M,K) has a splitting into two pairs of a solid torus V_i (i=1,2) and a boundary paralle…
Factorization formulas and computations of higher-order Alexander invariants for homologically fibered knots
Hiroshi Goda, Takuya Sakasai
Homologically fibered knots are knots whose exteriors satisfy the same homological conditions as fibered knots. In our previous paper, we observed that for such a knot, higher-orde…
Abelian quotients of monoids of homology cylinders
Hiroshi Goda, Takuya Sakasai
A homology cylinder over a surface consists of a homology cobordism between two copies of the surface and markings of its boundary. The set of isomorphism classes of homology cylin…