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Infinitely many standard trisection diagrams for Gluck twisting

Published 13 Sep 2023 in math.GT | (2309.06778v2)

Abstract: Gay and Meier asked if a trisection diagram for the Gluck twist on a spun or twist-spun 2-knot in S<sup>4S<sup>4 obtained by a certain method is standard. In this paper, we show that the trisection diagram for the Gluck twist on the spun (p+1,p)(p+1,p)-torus knot is standard, where pp is any integer greater than or equal to 2.

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