A note on cabled slice knots and reducible surgeries
Geometric Topology
2017-08-08 v1
Abstract
We consider the question of when a slice knot admits a reducible Dehn surgery. By analyzing the correction terms associated to such a surgery, we show that slice knots cannot admit surgeries with more than two summands. We also give a necessary Heegaard Floer theoretic condition for a positive cable of a knot to be slice.
Keywords
Cite
@article{arxiv.1507.04562,
title = {A note on cabled slice knots and reducible surgeries},
author = {Jeffrey Meier},
journal= {arXiv preprint arXiv:1507.04562},
year = {2017}
}
Comments
6 pages