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 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).

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

Cited by in corpus (4)

• The Legendrian knot complement problem
• Homologous Non-isotopic Symplectic Surfaces of Higher Genus
• Diffeomorphic vs isotopic links in lens spaces
• Exceptional cosmetic surgeries on homology spheres