Cosmetic surgery on knots
Geometric Topology
2016-09-07 v1
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).
Keywords
Cite
@article{arxiv.math/9911247,
title = {Cosmetic surgery on knots},
author = {Steven A. Bleiler and Craig D. Hodgson and Jeffrey R. Weeks},
journal= {arXiv preprint arXiv:math/9911247},
year = {2016}
}
Comments
12 pages. Published copy, also available at http://www.maths.warwick.ac.uk/gt/GTMon2/paper2.abs.html