Stefan Friedl, Takahiro Kitayama, Masaaki Suzuki
Published 2022-08-29Version 1
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 prime knots with up to 10 crossings that their Gordian distance is equal to 3, most of which are difficult to treat otherwise.
An obstruction of Gordian distance one and cosmetic crossings for genus one knots
A lower bound on the average genus of a 2-bridge knot
A lower bound on the stable 4-genus of knots
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