h-Vectors of simplicial cell balls
Combinatorics
2011-09-01 v2 Commutative Algebra
Abstract
A simplicial cell ball is a simplicial poset whose geometric realization is homeomorphic to a ball. Recently, Samuel Kolins gave a series of necessary conditions and sufficient conditions on -vectors of simplicial cell balls, and characterized them up to dimension 6. In this paper, we extend Kolins' results. We characterize all possible -vectors of simplicial cell balls in arbitrary dimension.
Cite
@article{arxiv.1105.1859,
title = {h-Vectors of simplicial cell balls},
author = {Satoshi Murai},
journal= {arXiv preprint arXiv:1105.1859},
year = {2011}
}
Comments
19 pages, exposition improved. To appear in Trans. Amer. Math. Soc