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
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 $Σ$.