Pretzel links, mutation, and the slice-ribbon conjecture

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Let p and q be distinct integers greater than one. We show that the 2-component pretzel link P (p, q, −p, −q) is not slice, even though it has a ribbon mutant, by using 3-fold branched covers and an obstruction based on Donaldson’s diagonalization theorem. As a consequence, we prove the slice-ribbon conjecture for 4-stranded 2-component pretzel links. © 2021 International Press of Boston, Inc.. All rights reserved.
Publisher
INT PRESS BOSTON
Issue Date
2021-12
Language
English
Article Type
Article
Citation

MATHEMATICAL RESEARCH LETTERS, v.28, no.4, pp.945 - 966

ISSN
1073-2780
DOI
10.4310/MRL.2021.V28.N4.A1
URI
http://hdl.handle.net/10203/291016
Appears in Collection
MA-Journal Papers(저널논문)
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