Hiroshima Mathematical Journal

Properties of minimal charts and their applications II

Teruo Nagase and Akiko Shima

Source: Hiroshima Math. J. Volume 39, Number 1 (2009), 1-36.

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.

Primary Subjects: 57Q45
Secondary Subjects: 57Q35
Keywords: 2-knot; chart; white vertex

Full-text: Open access

Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.hmj/1237392378
Mathematical Reviews number (MathSciNet): MR2499196
Zentralblatt MATH identifier: 05572621


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