Cyclic posets and triangulation clusters

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2019,（7）
• 页码范围: 1289-1316
• 页数: 28页
• 语种: 英文

摘要

Triangulated categories coming from cyclic posets were originally introduced by the authors in a previous paper as a generalization of the constructions of various triangulated categories with cluster structures.We give an overview,and then analyze "triangulation clusters" which are those corresponding to topological triangulations of the 2-disk.Locally finite nontriangulation clusters give topological triangulations of the "cactus space" associated to the "cactus cyclic poset".