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Minimal Charts

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abstract

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.

fields

math.GT 1

years

2025 1

verdicts

UNVERDICTED 1

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  • The linear minimal 4-chart with three crossings math.GT · 2025-09-04 · unverdicted · none · ref 9 · internal anchor

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