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arXiv · 2405.05262

Properties of minimal charts and their applications XI: no minimal charts with exactly seven white vertices

Teruo Nagase·Akiko Shima
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Abstract

Charts are oriented labeled graphs in a disk. Any simple surface braid (2-dimensional braid) can be described by using a chart. Also, a chart represents an oriented closed surface embedded in 4-space. In this paper, we investigate embedded surfaces in 4-space by using charts. In this paper, we shall show that there is no minimal chart with exactly seven white vertices.

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Teruo Nagase, Akiko Shima. 2024-04-13. Properties of minimal charts and their applications XI: no minimal charts with exactly seven white vertices. https://arxiv.org/abs/2405.05262

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