Morphisms and order ideals of toric posets
Combinatorics
2015-05-18 v3
Abstract
Toric posets are cyclic analogues of finite posets. They can be viewed combinatorially as equivalence classes of acyclic orientations generated by converting sources into sinks, or geometrically as chambers of toric graphic hyperplane arrangements. In this paper we study toric intervals, morphisms, and order ideals, and we provide a connection to cyclic reducibility and conjugacy in Coxeter groups.
Keywords
Cite
@article{arxiv.1501.02239,
title = {Morphisms and order ideals of toric posets},
author = {Matthew Macauley},
journal= {arXiv preprint arXiv:1501.02239},
year = {2015}
}
Comments
28 pages, 8 figures. A 12-page "extended abstract" version appears as [v2]