Infinitely many standard trisection diagrams for Gluck twisting

2023/09/13 by Isoshima, Tsukasa
#FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2309.06778

Abstract

Gay and Meier asked if a trisection diagram for the Gluck twist on a spun or twist-spun 2-knot in S⁴ 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.

Related

• Trisections induced by the Gluck surgery along certain spun knots
• Trisection diagrams and twists of 4-manifolds
• Gluck twist on a certain family of 2-knots
• Twist spun knots of twist spun knots of classical knots
• Doubles of Gluck twists: a five dimensional approach