5 citations · 8 across the 6 of their papers we have counts for
8 papers
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…
The special shadow-complexity of
Hironobu Naoe
The special shadow-complexity is an invariant of closed -manifolds defined by Costantino using Turaev's shadows. We show that for any positive integer , the special shadow-co…
Positive flow-spines and contact 3-manifolds, II
Ippei Ishii, Masaharu Ishikawa, Yuya Koda +1
This paper corresponds to Section 8 of arXiv:1912.05774v3 [math.GT]. The contents until Section 7 are published in Annali di Matematica Pura ed Applicata as a separate paper. In th…
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…
Shadows of acyclic 4-manifolds with sphere boundary
Yuya Koda, Hironobu Naoe
In terms of Turaev's shadows, we provide a sufficient condition for a compact, smooth, acyclic 4-manifold with boundary the 3-sphere to be diffeomorphic to the standard 4-ball. As…
Milnor fibration, A'Campo's divide and Turaev's shadow
Masaharu Ishikawa, Hironobu Naoe
We give a method for constructing a shadowed polyhedron from a divide. The 4-manifold reconstructed from a shadowed polyhedron admits the structure of a Lefschetz fibration if it s…