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Branched covers
bounding rational homology balls
Paolo Aceto, Jeffrey Meier, Allison N Miller, Maggie Miller, JungHwan Park and András I Stipsicz |
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Algebraic & Geometric Topology 21 (2021) 3569–3599
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Abstract |
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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. |
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Keywords
knot concordance group, branched covers
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Mathematical Subject Classification
Primary: 57K10, 57M12
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References |
Publication
Received: 30 April 2020
Revised: 4 August 2020
Accepted: 19 November 2020
Published: 28 December 2021
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Authors |
| Paolo Aceto | |
| Laboratoire Paul Painlevé Université de Lille Lille France |
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| Jeffrey Meier | |
| Department of Mathematics Western Washington University Bellingham, WA United States |
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| Allison N Miller | |
| Department of Mathematics and
Statistics Swarthmore College Swarthmore, PA United States |
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| Maggie Miller | |
| Department of Mathematics Princeton University Princeton, NJ United States |
Department of Mathematics Massachusetts Institute of Technology Cambridge, MA United States |
| JungHwan Park | |
| Department of Mathematical
Sciences Korea Advanced Institute of Science and Technology Daejeon South Korea |
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| András I Stipsicz | |
| Rényi Institute of Mathematics Budapest Hungary |
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