Branched covers bounding rational homology balls
Geometric Topology
2022-01-05 v2
Abstract
Prime power fold cyclic branched covers along smoothly slice knots all bound rational homology balls. This phenomenon, however, does not characterize slice knots. In this paper, we give a new construction of non-slice knots that have the above property. The sliceness obstruction comes from computing twisted Alexander polynomials, and we introduce new techniques to simplify their calculation.
Cite
@article{arxiv.2002.10324,
title = {Branched covers bounding rational homology balls},
author = {Paolo Aceto and Jeffrey Meier and Allison N. Miller and Maggie Miller and JungHwan Park and András I. Stipsicz},
journal= {arXiv preprint arXiv:2002.10324},
year = {2022}
}
Comments
19 pages, 5 figures, Version 2: Minor changes to abstract and introduction. Added references on knots that are not concordant to their reverses