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math.GT2024
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…
math.GT2024
Large alternating Montesinos knots do not admit purely cosmetic surgeries
Kazuhiro Ichihara, In Dae Jong
It is conjectured that, on a non-trivial knot in the 3-sphere, no pair of Dehn surgeries along distinct slopes are purely cosmetic, that is, none of them yield 3-manifolds those ar…