Dehn surgeries and rational homology balls
Geometric Topology
2017-02-08 v4
Abstract
We consider the question of which Dehn surgeries along a given knot bound rational homology balls. We use Ozsv\'ath and Szab\'o's correction terms in Heegaard Floer homology to obtain general constraints on the surgery coefficients. We then turn our attention to the case of integral surgeries, with particular emphasis on positive torus knots. Finally, combining these results with a lattice-theoretic obstruction based on Donaldon's theorem, we classify which integral surgeries along torus knots of the form bound rational homology balls.
Keywords
Cite
@article{arxiv.1509.07559,
title = {Dehn surgeries and rational homology balls},
author = {Paolo Aceto and Marco Golla},
journal= {arXiv preprint arXiv:1509.07559},
year = {2017}
}
Comments
32 pages, many figures. Several minor improvements and corrections. Comments are welcome!