封闭表面上最优莫尔斯流的轨迹等价

Q3 Mathematics Proceedings of the International Geometry Center Pub Date : 2018-06-10 DOI:10.15673/TMGC.V11I1.916

Злата Кибалко, Олександр Олегович Пришляк, Roman Shchurko

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引用次数: 20

摘要

我们考虑了封闭表面上的最优莫尔斯流。直到拓扑轨迹等价，这样的流动是由标记弦图决定的。我们列出了在最多4个属的不可定向曲面上的流的所有这样的图，并指出了与流及其逆相对应的图对。

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Trajectory equivalence of optimal Morse flows on closed surfaces

We consider optimal Morse flows on closed surfaces. Up to topological trajectory equivalence such flows are determined by marked chord diagrams. We present list all such diagrams for flows on nonorientable surfaces of genus at most 4 and indicate pairs of diagrams corresponding to the flows and their inverses.

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