Cosmetic surgery on knots
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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