论文标题

旋转系统和表面上的简单图纸

Rotation systems and simple drawings in surfaces

论文作者

Paul, Rosna, Salazar, Gelasio, Weinberger, Alexandra

论文摘要

平面中图的每张简单绘制都会自然诱导旋转系统,但是很容易展示旋转系统,而旋转系统并非来自飞机上的简单图形。我们将其扩展到所有表面:对于每个固定的表面$σ$,都有一个旋转系统,并非来自$σ$的简单图形。

Every simple drawing of a graph in the plane naturally induces a rotation system, but it is easy to exhibit a rotation system that does not arise from a simple drawing in the plane. We extend this to all surfaces: for every fixed surface $Σ$, there is a rotation system that does not arise from a simple drawing in $Σ$.

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