Gluck twist on a certain family of 2-knots

Mathematics – Geometric Topology

Scientific paper

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11 pages, 12 figures

Scientific paper

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

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