Cosmetic surgery on knots

Steven A. Bleiler; Craig D. Hodgson; Jeffrey R. Weeks

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arXiv · math/9911247

Cosmetic surgery on knots

Steven A. Bleiler·Craig D. Hodgson·Jeffrey R. Weeks

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Abstract

This paper concerns the Dehn surgery construction, especially those Dehn surgeries leaving the manifold unchanged. In particular, we describe an oriented 1-cusped hyperbolic 3-manifold X with a pair of slopes r_1, r_2 such that the Dehn filled manifolds X(r_1), X(r_2) are oppositely oriented copies of the lens space L(49,18), and there is no homeomorphism h of X such that h(r_1)=h(r_2).

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BibTeX RIS

Steven A. Bleiler, Craig D. Hodgson, Jeffrey R. Weeks. 1999-11-17. Cosmetic surgery on knots. https://arxiv.org/abs/math/9911247

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