Infinitely many standard trisection diagrams for Gluck twisting

Tsukasa Isoshima

doi:10.1017/s0305004125101746

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arXiv · 2309.06778

Infinitely many standard trisection diagrams for Gluck twisting

Tsukasa Isoshima

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Abstract

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

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Tsukasa Isoshima. 2023-09-13. Infinitely many standard trisection diagrams for Gluck twisting. https://doi.org/10.1017/s0305004125101746

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