Cyclic posets and triangulation clusters  

作　　者：Kiyoshi Igusa Gordana Todorov 

机构地区：[1]Department of Mathematics, Brandeis University, Waltham, MA 02454, USA [2]Department of Mathematics, Northeastern University, Boston, MA 02115, USA

出　　处：《Science China Mathematics》2019年第7期1289-1316,共28页中国科学：数学（英文版）

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".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".

关 键 词：CACTUS CYCLIC POSET cluster structure triangulated CATEGORIES Frobenius CATEGORIES COCYCLE 

分 类 号：O1[理学—数学]