Knot Concordances and Alternating Knots

Friedl, Stefan and Livingston, Charles and Zentner, Raphael (2017) Knot Concordances and Alternating Knots. MICHIGAN MATHEMATICAL JOURNAL, 66 (2). pp. 421-432. ISSN 0026-2285,

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Abstract

There is an infinitely generated free subgroup of the smooth knot concordance group with the property that no nontrivial element in this subgroup can be represented by an alternating knot. This subgroup has the further property that every element is represented by a topologically slice knot.

Item Type: Article
Uncontrolled Keywords: TOPOLOGICALLY SLICE-KNOTS; LINK TYPES; INVARIANTS; HOMOLOGY; GENUS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Stefan Friedl
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:01
Last Modified: 28 Feb 2019 09:48
URI: https://pred.uni-regensburg.de/id/eprint/617

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