Cyclic posets and triangulation clusters
Representation Theory
2019-03-26 v2
Abstract
Triangulated categories coming from cyclic posets were originally introduced by the authors in [IT15b] as a generalization of the constructions of various triangulated categories with cluster structures. We give an overview, then analyze triangulation clusters which are those corresponding to topological triangulations of the 2-disk. Locally finite non-triangulation clusters give topological triangulations of the cactus space associated to the cactus cyclic poset.
Cite
@article{arxiv.1903.04318,
title = {Cyclic posets and triangulation clusters},
author = {Kiyoshi Igusa and Gordana Todorov},
journal= {arXiv preprint arXiv:1903.04318},
year = {2019}
}
Comments
32 pages, 10 figures, presented by second author at Tsinghua University and at the Chern Institute of Mathematics, Nankai University, China, July 3-13, 2017, accepted for publication in SCIENCE CHINA Mathematics. v2: minor corrections, theorems renumbers