5 citations · 13 across the 13 of their papers we have counts for
13 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 2-knots and complexity
Hironobu Naoe
We introduce a new invariant for a -knot in , called the shadow-complexity, based on the theory of Turaev shadows, and we give a characterization of -knots with shadow-c…
Presentation of the fundamental groups of complements of shadows
Masaharu Ishikawa, Yuya Koda, Hironobu Naoe
A shadowed polyhedron is a simple polyhedron equipped with half integers on regions, called gleams, which represents a compact, oriented, smooth 4-manifold. The polyhedron is embed…
Positive flow-spines and contact 3-manifolds
Ippei Ishii, Masaharu Ishikawa, Yuya Koda +1
A flow-spine of a 3-manifold is a spine admitting a flow that is transverse to the spine, where the flow in the complement of the spine is diffeomorphic to a constant flow in an op…
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…
Corks with large shadow-complexity and exotic 4-manifolds
Hironobu Naoe
We construct an infinite family of corks of Mazur type satisfying for any positive integer…
Shadows of 4-manifolds with complexity zero and polyhedral collapsing
Hironobu Naoe
Our purpose is to classify acyclic 4-manifolds having shadow complexity zero. In this paper, we focus on simple polyhedra and discuss this problem combinatorially. We consider a sh…
Mazur manifolds and corks with small shadow complexities
Hironobu Naoe
In this paper we find infinitely many Mazur type manifolds and corks with shadow complexity one among the 4-manifolds constructed from contractible special polyhedra having one tru…
Four-manifolds with shadow-complexity zero
Bruno Martelli
We prove that a closed 4-manifold has shadow-complexity zero if and only if it is a kind of 4-dimensional graph manifold, which decomposes into some particular blocks along embedde…