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

被引：4
|
作者：
Nagase, Teruo [1 ]
Shima, Akiko [2 ]
机构：
[1] Tokai Univ, 4-1-1 Kitakaname, Hiratsuka, Kanagawa 2591292, Japan
[2] Tokai Univ, Dept Math, 4-1-1 Kitakaname, Hiratsuka, Kanagawa 2591292, Japan
来源：
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2019年 / 28卷 / 14期
关键词：
Surface link; chart; white vertex; minimal chart;
D O I：
10.1142/S0218216519500846
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let Gamma be a chart, and we denote by Gamma(m) the union of all the edges of label m. A chart G is of type (3, 2, 2) if there exists a label m such that w(Gamma) = 7, w(Gamma(m) boolean AND Gamma(m+1)) = 3, w(Gamma(m+ 1) boolean AND Gamma(m+2)) = 2, and w(G Gamma(m+ 2) boolean AND Gamma(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 (3, 2, 2).
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页数：27
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