Thurston norm and cosmetic surgeries
Geometric Topology
2010-01-25 v1
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.
Keywords
Cite
@article{arxiv.1001.3926,
title = {Thurston norm and cosmetic surgeries},
author = {Yi Ni},
journal= {arXiv preprint arXiv:1001.3926},
year = {2010}
}
Comments
13 pages, 4 figures. To appear in 2009 Georgia Topology Conference Proceedings