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 S3 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 S3. We also give some properties of Heegaard Floer correction terms and torsion invariants for exceptional cosmetic surgeries on S3.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
