Tsukasa Isoshima

activity

20222026

collaborators

8 papers

math.GT2026

Minimal genus trisection diagrams of the elliptic surfaces $E (n)$ via handle diagrams

Tsukasa Isoshima

Lambert-Cole and Meier showed that the elliptic surface $E (n)$ admits a $(12 n - 2, 0)$ -trisection, considering the property that $E (n)$ is a certain double branched cover of $S^2 \tim…

math.GT2026

Trisections and Lefschetz fibrations with $(- n)$ -sections

Tsukasa Isoshima, Reo Yabuguchi

Castro and Ozbagci constructed a trisection of a closed 4-manifold admitting a Lefschetz fibration with a $(- 1)$ -section such that the corresponding trisection diagram can be expli…

math.GT2025

The non-simply connected Price twist for the 4-sphere

Tsukasa Isoshima, Tatsumasa Suzuki

A cutting and pasting operation on a $P^{2}$ -knot $S$ in a $4$ -manifold is called the Price twist. The Price twist for the $4$ -sphere $S^{4}$ yields at most three $4$ -manifolds up to d…

math.GT2024

Trisections of the doubles of some Mazur type 4-manifolds

Tsukasa Isoshima

We show that certain two kinds of trisection diagrams of the doubles of the Mazur type 4-manifolds introduced by Akbulut and Kirby are standard. One is constructed by doubling a ce…

math.GT2024

Nielsen equivalence and multisections of 4-manifolds

Tsukasa Isoshima, Masaki Ogawa

Islambouli showed that there exist infinitely many 4-manifolds admitting non-isotopic trisections using a Nielsen equivalence, which can be used to construct non-isotopic Heegaard…

math.GT2023

Infinitely many standard trisection diagrams for Gluck twisting

Tsukasa Isoshima

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 tr…

math.GT2023

Trisections induced by the Gluck surgery along certain spun knots

Tsukasa Isoshima, Masaki Ogawa

Gay and Meier asked whether or not a trisection diagram obtained by the Gluck twist on a spun or a twist spun 2-knot obtained from some method is standard. In this paper, we depict…

math.GT2022

Trisections obtained by trivially regluing surface-knots

Tsukasa Isoshima

Let $S$ be a $P^{2}$ -knot which is the connected sum of a 2-knot with normal Euler number 0 and an unknotted $P^{2}$ -knot with normal Euler number $\pm 2$ in a closed 4-manifold $X$ wit…

Minimal genus trisection diagrams of the elliptic surfaces E(n) via handle diagrams

Trisections and Lefschetz fibrations with (−n)-sections

The non-simply connected Price twist for the 4-sphere

Trisections of the doubles of some Mazur type 4-manifolds

Nielsen equivalence and multisections of 4-manifolds

Infinitely many standard trisection diagrams for Gluck twisting

Trisections induced by the Gluck surgery along certain spun knots

Trisections obtained by trivially regluing surface-knots

Minimal genus trisection diagrams of the elliptic surfaces $E (n)$ via handle diagrams

Trisections and Lefschetz fibrations with $(- n)$ -sections