Surgeries on torus knots, rational balls, and cabling
Geometric Topology
2020-08-18 v1
Abstract
We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral surgeries that bound rational homology balls. For such cables, let S(K) be the set of corresponding rational numbers q/p. We show that S(K) is bounded for each K. Moreover, if n-surgery on K bounds a rational homology ball then n is an accumulation point for S(K).
Keywords
Cite
@article{arxiv.2008.06760,
title = {Surgeries on torus knots, rational balls, and cabling},
author = {Paolo Aceto and Marco Golla and Kyle Larson and Ana G. Lecuona},
journal= {arXiv preprint arXiv:2008.06760},
year = {2020}
}
Comments
89 pages. Comments welcome