Infinitely many standard trisection diagrams for Gluck twisting

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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Publication Details

Journal
Mathematical Proceedings of the Cambridge Philosophical Society
Published
2025-10-16
DOI
https://doi.org/10.1017/s0305004125101746
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00
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article

Infinitely many standard trisection diagrams for Gluck twisting

Tsukasa Isoshima
Mathematical Proceedings of the Cambridge Philosophical Society
Geometric and Algebraic Topology
article

Infinitely many standard trisection diagrams for Gluck twisting

Tsukasa Isoshima
article en

Abstract

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.

Mathematical Proceedings of the Cambridge Philosophical SocietyVol. 180(2)
Keio University (JP)
Openalex Percentile: Top 65%
Geometric and Algebraic Topology
DOISourceOpenAlex
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Infinitely many standard trisection diagrams for Gluck twisting — Tsukasa Isoshima · Mathematical Proceedings of the Cambridge Philosophical Society (2025) | TGRS Research Map | TGRS