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Branched covers bounding rational homology balls

Authors :
Paolo Aceto
Jeffrey Meier
Allison N Miller
Maggie Miller
JungHwan Park
András I Stipsicz
Source :
Algebraic & Geometric Topology. 21:3569-3599
Publication Year :
2021
Publisher :
Mathematical Sciences Publishers, 2021.

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.<br />Comment: 19 pages, 5 figures, Version 2: Minor changes to abstract and introduction. Added references on knots that are not concordant to their reverses

Details

ISSN :
14722739 and 14722747
Volume :
21
Database :
OpenAIRE
Journal :
Algebraic & Geometric Topology
Accession number :
edsair.doi.dedup.....407d9912675e1b4091931d3c5e523288