Open Access
March 2009 Properties of minimal charts and their applications II
Teruo Nagase, Akiko Shima
Hiroshima Math. J. 39(1): 1-36 (March 2009). DOI: 10.32917/hmj/1237392378

Abstract

Let $\Gamma$ be a minimal chart with exactly seven white vertices. In this paper, we show that $\Gamma$ is a chart of type $(7),(5,2),(4,3),(3,2,2)$ or $(2,3,2)$ if necessary we change the labels. We investigate minimal charts with loops or lenses.

Citation

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Teruo Nagase. Akiko Shima. "Properties of minimal charts and their applications II." Hiroshima Math. J. 39 (1) 1 - 36, March 2009. https://doi.org/10.32917/hmj/1237392378

Information

Published: March 2009
First available in Project Euclid: 18 March 2009

zbMATH: 1194.57030
MathSciNet: MR2499196
Digital Object Identifier: 10.32917/hmj/1237392378

Subjects:
Primary: 57Q45
Secondary: 57Q35

Keywords: 2-knot , chart , white vertex

Rights: Copyright © 2009 Hiroshima University, Mathematics Program

Vol.39 • No. 1 • March 2009
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