论文标题
来自三角孔的蛇形图
Snake Graphs from Triangulated Orbifolds
论文作者
论文摘要
我们给出了一个明确的组合公式，用于在未施加的三角形的Orbifold上的任何弧形或封闭曲线的lo脉膨胀。我们通过将Musiker，Schiffler和Williams的蛇形构造扩展到未履行的Orbifolds来做到这一点。在普通弧的情况下，这给出了与此轨道的广义群集代数的组合证明。
We give an explicit combinatorial formula for the Laurent expansion of any arc or closed curve on an unpunctured triangulated orbifold. We do this by extending the snake graph construction of Musiker, Schiffler, and Williams to unpunctured orbifolds. In the case of an ordinary arc, this gives a combinatorial proof of positivity to the generalized cluster algebra from this orbifold.
