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Infinitely many standard trisection diagrams for Gluck twisting

Part of: Differential topology

Published online by Cambridge University Press:  16 October 2025

TSUKASA ISOSHIMA
TSUKASA ISOSHIMA*
Affiliation:
Research and Education Center for Natural Sciences, Keio University, 4-1-1 Hiyoshi, Kohoku-ku, Yokohama, Kanagawa, 223-8521, Japan. e-mail: isoshima@keio.jp
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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.

MSC classification

Secondary: 57R65: Surgery and handlebodies

Information

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , First View , pp. 1 - 27
Copyright
© The Author(s), 2025. Published by Cambridge University Press on behalf of Cambridge Philosophical Society

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