Cosmetic surgeries on knots in $S^3$
Geometric Topology
2013-07-11 v2
Abstract
Two Dehn surgeries on a knot are called {\it purely cosmetic}, if they yield manifolds that are homeomorphic as oriented manifolds. Suppose there exist purely cosmetic surgeries on a knot in , we show that the two surgery slopes must be the opposite of each other. One ingredient of our proof is a Dehn surgery formula for correction terms in Heegaard Floer homology.
Cite
@article{arxiv.1009.4720,
title = {Cosmetic surgeries on knots in $S^3$},
author = {Yi Ni and Zhongtao Wu},
journal= {arXiv preprint arXiv:1009.4720},
year = {2013}
}
Comments
v2: 19 pages, incorporates referee's comments