Cosmetic surgery on knots
Steven A. Bleiler, Craig D. Hodgson, Jeffrey R. Weeks
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 r1, r2 such that the Dehn filled manifolds X(r1), X(r2) are oppositely oriented copies of the lens space L(49,18), and there is no homeomorphism h of X such that h(r1)=h(r2).
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