Thurston norm and cosmetic surgeries

Details Thurston norm and cosmetic surgeries Thurston norm and cosmetic surgeries

2010-01-22

arxiv.org/abs/1001.3926v1

Mathematics

Geometric Topology

13 pages, 4 figures. To appear in 2009 Georgia Topology Conference Proceedings

Scientific paper

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.

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