Thurston norm and cosmetic surgeries
arXiv:1001.3926
Abstract
Two Dehn surgeries on a knot are called cosmetic if they yield homeomorphic manifolds. For a null-homologous knot with certain conditions on the Thurston norm of the ambient manifold, if the knot admits cosmetic surgeries, then the surgery coefficients are equal up to sign.
13 pages, 4 figures. To appear in 2009 Georgia Topology Conference Proceedings