Triangle Topology Seminar
Tuesday, October 16, 2018, 3:30pm, SAS 2102 (NCSU)
Adam Lowrance (Vassar College)
Gordian distance and spectral sequences in Khovanov homology
Abstract:
The Gordian distance between two knots is the fewest number of crossing changes necessary to transform one knot into the other. Khovanov homology is a categorification of the Jones polynomial that comes equipped with several spectral sequences. In this talk, we show that the page at which some of these spectral sequences collapse gives a lower bound on the Gordian distance between a given knot and the set of alternating knots (and also on other related Gordian distances). We also discuss connections to the existence of torsion in Khovanov homology.

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