| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4658017 | Topology and its Applications | 2016 | 13 Pages |
Abstract
This paper concerns the truly cosmetic surgery conjecture. We prove that the slope of an exceptional truly cosmetic surgery on a hyperbolic knot in S3S3 must be ±1 and the surgery must be toroidal but not Seifert fibred. As a consequence we show that there are no exceptional truly cosmetic surgeries on certain types of hyperbolic knots in S3S3. We also give some properties of Heegaard Floer correction terms and torsion invariants for exceptional cosmetic surgeries on S3S3.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Huygens C. Ravelomanana,