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Thurston norm and cosmetic surgeries

2010/01/22 by Yi Ni, Ni, Yi
Mathematics · Medicine · #57M27 #Botulinum Toxin and Related Neurological Disorders #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1001.3926

openalex publication_date 2010/01/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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