• Corpus ID: 43352494

Thurston norm and cosmetic surgeries

  title={Thurston norm and cosmetic surgeries},
  author={Yi Ni},
  journal={arXiv: Geometric Topology},
  • Yi Ni
  • Published 22 January 2010
  • Mathematics, Medicine
  • arXiv: Geometric Topology
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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