3 papers
math.GT2024
Shadow-complexity and trisection genus
Hironobu Naoe, Masaki Ogawa
The shadow-complexity is an invariant of closed -manifolds defined by using -dimensional polyhedra called Turaev's shadows, which, roughly speaking, measures how complicated…
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
Weinstein trisections of trivial surface bundles
Masaki Ogawa
Weinstein trisection is a trisection of a symplectic 4-manifold whose 1-handlebodies are the Weinstein domain for the symplectic structure induced from an ambient manifold. Lambert…