Blanchfield pairings and Gordian distance

Autor: Friedl, Stefan, Kitayama, Takahiro, Suzuki, Masaaki
Rok vydání: 2022
Předmět:
Zdroj: International Journal of Mathematics, 35, (2024), 2450052 (24 pages)
Druh dokumentu: Working Paper
Popis: 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.
Comment: 20 pages. Version 2 also includes computational results for composite knots
Databáze: arXiv