Blanchfield pairings and Gordian distance
Takahiro Kitayama (The University of Tokyo)
Monday 24th March 16:00-17:00 Maths 311B
Abstract
We present a lower bound of the Gordian distance of knots in terms of their Blanchfield pairings, extending a theorem of Borodzik and Friedl on the unknotting number of a knot. We also describe some computational results, in particular, giving examples of pairs of knots with the Gordian distance equal to 3 which are difficult to treat otherwise. This talk is based on joint work with Stefan Friedl and Masaaki Suzuki.
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