Friedl, Stefan and Kitayama, Takahiro and Lewark, Lukas and Nagel, Matthias and Powell, Mark (2022) Homotopy ribbon concordance, Blanchfield pairings, and twisted Alexander polynomials. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 74 (4). pp. 1137-1176. ISSN 0008-414X, 1496-4279
Full text not available from this repository. (Request a copy)Abstract
We establish homotopy ribbon concordance obstructions coming from the Blanchfield form and Levine-Tristram signatures. Then, as an application of twisted Alexander polynomials, we show that for every knot K with nontrivial Alexander polynomial, there exists an infinite family of knots that are all concordant to K and have the same Blanchfield form as K, such that no pair of knots in that family is homotopy ribbon concordant.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | S-EQUIVALENCE; REPRESENTATIONS; COBORDISMS; HOMOLOGY; TORSION; FORMS; KNOTS; Ribbon concordance; Seifert form; Blanchfield pairing; twisted Alexander polynomial; Levine-Tristram signatures |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Petra Gürster |
| Date Deposited: | 09 Jan 2025 10:44 |
| Last Modified: | 09 Jan 2025 10:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/46475 |
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