Properties of minimal charts and their applications VII: charts of type (2,3,2)

2020/03/27 by Nagase, Teruo, Shima, Akiko
#57Q35 #57Q45 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2003.12188

Abstract

Let Γ be a chart, and we denote by Γ_m the union of all the edges of label m. A chart Γ is of type (2,3,2) if there exists a label m such that w(Γ)=7, w(Γ_m∩Γ_m+1)=2, w(Γ_m+1∩Γ_m+2)=3, and w(Γ_m+2∩Γ_m+3)=2 where w(G) is the number of white vertices in G. In this paper, we prove that there is no minimal chart of type (2,3,2).

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