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Blanchfield pairings and Gordian distance

Stefan Friedl

Department of Mathematics, University of Regensburg, Regensburg, Germany

E-mail Address: sfriedl@gmail.com

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Takahiro Kitayama

https://orcid.org/0000-0003-2588-3455

Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan

E-mail Address: kitayama@ms.u-tokyo.ac.jp

Corresponding author.

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, and

Masaaki Suzuki

Department of Frontier Media Science, Meiji University, Tokyo, Japan

E-mail Address: mackysuzuki@meiji.ac.jp

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https://doi.org/10.1142/S0129167X24500526Cited by:0 (Source: Crossref)

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.

Communicated by Jongil Park

Keywords:

AMSC: 57K10, 57K31

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