Thurston norm and cosmetic surgeries
classification
🧮 math.GT
keywords
cosmeticknotsurgeriesnormthurstonadmitsambientcalled
read the original 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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