6 citations · 19 across the 13 of their papers we have counts for
13 papers
Exceptional or half-integral chirally cosmetic surgeries
Kazuhiro Ichihara, Toshio Saito
A pair of Dehn surgeries on a knot is called chirally cosmetic if they yield orientation-reversingly homeomorphic 3-manifolds. In this paper, we consider exceptional or half-integr…
On constraints for knots to admit chirally cosmetic surgeries and their calculations
Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito
We discuss various constraints for knots in to admit chirally cosmetic surgeries, derived from invariants of 3-manifolds, such as, the quantum -invariant, the rank o…
Knots in homology lens spaces determined by their complements
Kazuhiro Ichihara, Toshio Saito
In this paper, we consider the knot complement problem for not null-homologous knots in homology lens spaces. Let be a homology lens space with $H_1(M; \mathbb{Z}) \cong \mathb…
Two-bridge knots admit no purely cosmetic surgeries
Kazuhiro Ichihara, In Dae Jong, Thomas W. Mattman +1
We show that two-bridge knots and alternating fibered knots admit no purely cosmetic surgeries, i.e., no pair of distinct Dehn surgeries on such a knot produce 3-manifolds that are…
Chirally cosmetic surgeries and Casson invariants
Kazuhiro Ichihara, Tetsuya Ito, Toshio Saito
We study chirally cosmetic surgeries, that is, a pair of Dehn surgeries on a knot producing homeomorphic 3-manifolds with opposite orientations. Several constraints on knots and su…
Cosmetic surgery and the Casson invariant for two-bridge knots
Kazuhiro Ichihara, Toshio Saito
We consider the cosmetic surgery problem for two-bridge knots in the 3-sphere. It is seen that all the two-bridge knots at most 9 crossings other than $9_{27} = S(49,19)=C[2,2,-2,2…