Blanchfield pairings and Gordian distance
Geometric Topology
2024-10-22 v2
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.
Cite
@article{arxiv.2208.13327,
title = {Blanchfield pairings and Gordian distance},
author = {Stefan Friedl and Takahiro Kitayama and Masaaki Suzuki},
journal= {arXiv preprint arXiv:2208.13327},
year = {2024}
}
Comments
20 pages. Version 2 also includes computational results for composite knots