1 citations · 1 across the 4 of their papers we have counts for
4 papers
Stein fillings of planar contact 3-manifolds with relative trisection genus 2
Nobutaka Asano, Natsuya Takahashi
We study Stein fillings of planar contact 3-manifolds under certain constraints on their relative trisections. We partially classify the diffeomorphism types of such fillings admit…
Some lower bounds for the Kirby-Thompson invariant
Nobutaka Asano, Hironobu Naoe, Masaki Ogawa
Kirby and Thompson introduced a non-negative integer-valued invariant, called the Kirby-Thompson invariant, of a -manifold using trisections. In this paper, we give some lower b…
Right-left equivalent maps of simplified -trisections with different configurations of vanishing cycles
Nobutaka Asano
Trisection maps are certain stable maps from closed --manifolds to . A simpler but reasonable class of trisection maps was introduced by Baykur and Saeki, called a…
Vertical 3-manifolds in simplified (2, 0)-trisections of 4-manifolds
Nobutaka Asano
We classify the -manifolds obtained as the preimages of arcs on the plane for simplified -trisection maps, which we call vertical -manifolds. Such a -manifold is a…