7 papers · 1 filter
Minimal genus trisection diagrams of the elliptic surfaces via handle diagrams
Tsukasa Isoshima
Lambert-Cole and Meier showed that the elliptic surface admits a -trisection, considering the property that is a certain double branched cover of $S^2 \tim…
Trisections and Lefschetz fibrations with -sections
Tsukasa Isoshima, Reo Yabuguchi
Castro and Ozbagci constructed a trisection of a closed 4-manifold admitting a Lefschetz fibration with a -section such that the corresponding trisection diagram can be expli…
The non-simply connected Price twist for the 4-sphere
Tsukasa Isoshima, Tatsumasa Suzuki
A cutting and pasting operation on a -knot in a -manifold is called the Price twist. The Price twist for the -sphere yields at most three -manifolds up to d…
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…
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…
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 obtained by a certain method is standard. In this paper, we show that the tr…