Neighbors of knots in the Gordian graph

2015/05/01 by Blair, Ryan, Campisi, Marion, Johnson, Jesse +2
#57M25 #57M50 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1505.00201

Abstract

We show that every knot is one crossing change away from a knot of arbitrarily high bridge number and arbitrarily high bridge distance.

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