论文标题

Orbifold图

Orbifold diagrams

论文作者

Baur, Karin, Pasquali, Andrea, Velasco, Diego

论文摘要

我们研究磁盘上的交替股图图。这些是通过磁盘上尼科夫图的旋转来旋转的商,我们称它们为Orbifold图。我们将一个潜力与每个Orbifold图的潜力相关联,以使其Jacobian代数以及与覆盖后尼科夫图相关的Qubian代数与偏斜组的代数结构相关。此外,我们将这个雅各布式代数视为某个明确倾斜对象的内态代数。这类似于(并依靠)Baur-King-Marsh在磁盘上的后图。

We study alternating strand diagrams on the disk with an orbifold point. These are quotients by rotation of Postnikov diagrams on the disk, and we call them orbifold diagrams. We associate a quiver with potential to each orbifold diagram, in such a way that its Jacobian algebra and the one associated to the covering Postnikov diagram are related by a skew-group algebra construction. We moreover realise this Jacobian algebra as the endomorphism algebra of a certain explicit cluster-tilting object. This is similar to (and relies on) a result by Baur-King-Marsh for Postnikov diagrams on the disk.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源