f-vectors of Simplicial Posets that are Balls
Combinatorics
2010-09-13 v1 Commutative Algebra
Geometric Topology
Abstract
Results of R. Stanley and M. Masuda completely characterize the h-vectors of simplicial posets whose order complexes are spheres. In this paper we examine the corresponding question in the case where the order complex is a ball. Using the face rings of these posets, we develop a series of new conditions on their h-vectors. We also present new methods for constructing poset balls with specific h-vectors. These results allow us to give a complete characterization of the h-vectors of simplicial poset balls up through dimension six.
Keywords
Cite
@article{arxiv.1009.1917,
title = {f-vectors of Simplicial Posets that are Balls},
author = {Samuel Kolins},
journal= {arXiv preprint arXiv:1009.1917},
year = {2010}
}
Comments
25 pages