Gluck twist on a certain family of 2-knots

2011/03/29 by Nash, Daniel, Stipsicz, András I.
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1103.5571

Abstract

We show that by performing the Gluck twist along the 2-knot K²_pq derived from two ribbon presentations of the ribbon 1-knot K(p,q) we get the standard 4-sphere S⁴. In the proof we apply Kirby calculus.

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