Abstract A pair of Dehn fillings on a compact, orientable 3-manifold M with a torus boundary M is said to be purely cosmetic if the resulting 3-manifolds are orientation-preservingly homeomorphic. In this article, we show that if M is incompressible, then there are only finitely many pairs of purely cosmetic fillings.
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Kazuhiro Ichihara (Fri,) studied this question.
www.synapsesocial.com/papers/69a75ef6c6e9836116a29ffc — DOI: https://doi.org/10.4153/s000843952610174x
Kazuhiro Ichihara
Canadian Mathematical Bulletin
Nihon University
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