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arxiv: 1602.02958 · v2 · pith:JLRLQVD5new · submitted 2016-02-09 · 🧮 math.GT

Minimal Charts

Teruo Nagase , Akiko Shima This is my paper
classification 🧮 math.GT
keywords chartsminimalcrossingsfundamentalgivetheoremsthreecharacterizing
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In this paper, we give definitions of three kinds of minimal charts, and we investigate properties of minimal charts and establish fundamental theorems characterizing minimal charts. To classify charts with two or three crossings we use the fundamental theorems. In the future paper, we give an numeration of the charts with two crossings.

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  1. The linear minimal 4-chart with three crossings

    math.GT 2025-09 unverdicted novelty 5.0

    Any linear minimal 4-chart with three crossings is lor-equivalent to the chart of the 2-twist spun trefoil knot.