Cosmetic surgeries on genus one knots

@inproceedings{Wang2006CosmeticSO,
  title={Cosmetic surgeries on genus one knots},
  author={J. Wang},
  year={2006}
}
  • J. Wang
  • Published 2006
  • Mathematics
  • In this paper, we prove that there are no truly cosmetic surgeries on genus one classical knots. If the two surgery slopes have the same sign, we give the only possibilities of reflectively cosmetic surgeries. The result is an application of Heegaard Floer theory and number theory. 57M27, 57R58; 53D40 

    Citations

    Publications citing this paper.
    SHOWING 1-10 OF 22 CITATIONS

    Cosmetic surgeries on knots in $S^3$

    VIEW 1 EXCERPT
    CITES BACKGROUND

    Cable knots do not admit cosmetic surgeries

    VIEW 1 EXCERPT
    CITES METHODS

    Cosmetic surgeries and the Poincare homology sphere

    VIEW 1 EXCERPT
    CITES METHODS

    Cosmetic surgeries and non-orientable surfaces

    VIEW 1 EXCERPT
    CITES BACKGROUND

    The Legendrian knot complement problem

    VIEW 2 EXCERPTS
    CITES BACKGROUND

    Cosmetic surgery in L-space homology spheres

    VIEW 1 EXCERPT
    CITES METHODS

    FILTER CITATIONS BY YEAR

    2009
    2020

    CITATION STATISTICS

    • 3 Highly Influenced Citations