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Published 2011 | Submitted
Book Section - Chapter Open

Thurston norm and cosmetic surgeries

Ni, Yi

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.

Additional Information

© 2011 American Mathematical Society. The author is partially supported by an AIM Five-Year Fellowship and NSF grant number DMS-0805807

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