English

Infinitely many standard trisection diagrams for Gluck twisting

Geometric Topology 2025-10-22 v2

Abstract

Gay and Meier asked if a trisection diagram for the Gluck twist on a spun or twist-spun 2-knot in S4S^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.

Keywords

Cite

@article{arxiv.2309.06778,
  title  = {Infinitely many standard trisection diagrams for Gluck twisting},
  author = {Tsukasa Isoshima},
  journal= {arXiv preprint arXiv:2309.06778},
  year   = {2025}
}

Comments

19 pages, 18 figures, minor corrects

R2 v1 2026-06-28T12:20:04.355Z