Document Type
Article
Publication Date
2021
Published In
Algebraic And Geometric Topology
Abstract
Prime power–fold cyclic branched covers along smoothly slice knots all bound rational homology balls. This phenomenon, however, does not characterize slice knots. We give a new construction of nonslice knots that have the above property. The sliceness obstruction comes from computing twisted Alexander polynomials, and we introduce new techniques to simplify their calculation.
Keywords
knot concordance group, branched covers
Recommended Citation
P. Aceto, J. Meier, Allison N. Miller, M. Miller, JH Park, and A. I. Stipsicz.
(2021).
"Branched Covers Bounding Rational Homology Balls".
Algebraic And Geometric Topology.
Volume 21,
Issue 7.
3569-3599.
DOI: 10.2140/agt.2021.21.3569
https://works.swarthmore.edu/fac-math-stat/298
Comments
This work is a preprint that is freely available from arXiv.org at arXiv:2002.10324, courtesy of Mathematical Sciences Publishers.