Aceto, Paolo and Meier, Jeffrey and Miller, Allison N. and Miller, Maggie and Park, JungHwan and Stipsicz, András (2022) Branched covers bounding rational homology balls. ALGEBRAIC AND GEOMETRIC TOPOLOGY. ISSN 1472-2739 (In Press)
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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.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 02 Jul 2021 10:57 |
| Last Modified: | 25 Apr 2023 10:00 |
| URI: | http://real.mtak.hu/id/eprint/127269 |
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