箭图的特殊折叠与簇代数
Special Folding of Quivers and Cluster Algebras
AI总结：
本文定义了折叠箭图与折叠簇代数，给出含有限突变结构的实例，关联到 $X_6$、$X_7$，并构造了基于带孔曲面三角剖分及广义置换多面体的折叠簇代数。
摘要：
我们给出了折叠箭图和折叠簇代数的精确定义。我们提供了许多例子，包括一些具有有限突变结构但在未折叠情形中没有类似物的例子。我们将这些例子与有限突变型箭图 $X_6$ 和 $X_7$ 联系起来。我们还构造了一个与带孔曲面三角剖分相关联的折叠簇代数，该三角剖分允许自折叠三角形。我们给出了一个折叠簇代数的简单构造，其簇复形是广义置换多面体。
英文摘要：
We give a precise definition of folded quivers and folded cluster algebras. We give many examples of including some with finite mutation structure that do not have analogues in the unfolded cases. We relate these examples to the finite mutation type quivers $X_6$ and $X_7$. We also construct a folded cluster algebra associated to triangulations of punctured surface which allow for triangulations self-folded triangles. We give a simple construction of a folded cluster algebra for which the cluster complex is a generalized permutohedron.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
