75 citations · 118 across the 22 of their papers we have counts for
22 papers
Braids, entropies and fibered 2-fold branched covers of 3-manifolds
Susumu Hirose, Eiko Kin
It is proved by Sakuma and Brooks that any closed orientable -manifold with a Heegaard splitting of genus admits a -fold branched cover that is a hyperbolic -manifold…
Volumes of fibered 2-fold branched covers of 3-manifolds
Susumu Hirose, Efstratia Kalfagianni, Eiko Kin
We prove that for any closed, connected, oriented 3-manifold M, there exists an infinite family of 2-fold branched covers of M that are hyperbolic 3-manifolds and surface bundles o…
Braids, metallic ratios and periodic solutions of the -body problem
Yuika Kajihara, Eiko Kin, Mitsuru Shibayama
Periodic solutions of the planar -body problem determine braids through the trajectory of bodies. Braid types can be used to classify periodic solutions. According to the Ni…
Lissajous 3-braids
Eiko Kin, Hiroaki Nakamura, Hiroyuki Ogawa
We classify 3-braids arising from collision-free choreographic motions of 3 bodies on Lissajous plane curves, and present a parametrization in terms of levels and (Christoffel) slo…
Goeritz groups of bridge decompositions
Susumu Hirose, Daiki Iguchi, Eiko Kin +1
For a bridge decomposition of a link in the -sphere, we define the Goeritz group to be the group of isotopy classes of orientation-preserving homeomorphisms of the -sphere th…
Asymptotic translation lengths and normal generation for pseudo-Anosov monodromies of fibered 3-manifolds
Hyungryul Baik, Eiko Kin, Hyunshik Shin +1
Let be a hyperbolic fibered 3-manifold. We study properties of sequences of fibers and monodromies for primitive integral classes in the fibered cone of $M…