Thurston norm and cosmetic surgeries

Yi Ni

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arXiv · 1001.3926

Thurston norm and cosmetic surgeries

Yi Ni

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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.

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BibTeX RIS

Yi Ni. 2010-01-22. Thurston norm and cosmetic surgeries. https://arxiv.org/abs/1001.3926

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