Blanchfield pairings and Gordian distance

Friedl, Stefan and Kitayama, Takahiro and Suzuki, Masaaki (2024) Blanchfield pairings and Gordian distance. INTERNATIONAL JOURNAL OF MATHEMATICS, 35 (13). ISSN 0129-167X, 1793-6519

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Abstract

A lower bound of the Gordian distance is presented in terms of the Blanchfield pairing. Our approach, in particular, allows us to show at least for 195 pairs of unoriented nontrivial prime knots with up to 10 crossings that their Gordian distance is equal to 3, most of which are difficult to treat otherwise.

Item Type: Article
Uncontrolled Keywords: CLASSICAL INVARIANTS; UNKNOTTING NUMBER; KNOTS; Gordian distance; Blanchfield pairing; knot
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Stefan Friedl
Depositing User: Dr. Gernot Deinzer
Date Deposited: 04 Dec 2025 05:48
Last Modified: 04 Dec 2025 05:48
URI: https://pred.uni-regensburg.de/id/eprint/64487

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