Cosmetic surgery on knots

Details Cosmetic surgery on knots Cosmetic surgery on knots

1999-11-17

arxiv.org/abs/math/9911247v1

Geom. Topol. Monogr. 2 (1999), 23-34

Mathematics

Geometric Topology

12 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper2.abs.html

Scientific paper

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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