A. Shima

activity

20162025

most citedProperties of minimal charts and their applications IV: Loops

8 citations · 11 across the 15 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.GT2017

The structure of a minimal $n$ -chart with two crossings II: Neighbourhoods of $Γ_{1} \cup Γ_{n - 1}$

Teruo Nagase, Akiko Shima

Given a 2-crossing minimal chart $Γ$ , a minimal chart with two crossings, set $α = min {i ∣$ there exists an edge of label $i$ containing a white vertex $}$ , and $β = max {i ∣$ the…

math.GT2017★ 1 cited

The structure of a minimal $n$ -chart with two crossings I: Complementary domains of $Γ_{1} \cup Γ_{n - 1}$

Teruo Nagase, Akiko Shima

This is the first step of the two steps to enumerate the minimal charts with two crossings. For a label $m$ of a chart $Γ$ we denote by $Γ_{m}$ the union of all the edges of label $m…

The structure of a minimal n-chart with two crossings II: Neighbourhoods of Γ1​∪Γn−1​

The structure of a minimal n-chart with two crossings I: Complementary domains of Γ1​∪Γn−1​

The structure of a minimal $n$ -chart with two crossings II: Neighbourhoods of $Γ_{1} \cup Γ_{n - 1}$

The structure of a minimal $n$ -chart with two crossings I: Complementary domains of $Γ_{1} \cup Γ_{n - 1}$