h-Vectors of simplicial cell balls

Details h-Vectors of simplicial cell balls h-Vectors of simplicial cell balls

2011-05-10

arxiv.org/abs/1105.1859v2

Mathematics

Combinatorics

19 pages, exposition improved. To appear in Trans. Amer. Math. Soc

Scientific paper

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 $h$-vectors of simplicial cell balls, and characterized them up to dimension 6. In this paper, we extend Kolins' results. We characterize all possible $h$-vectors of simplicial cell balls in arbitrary dimension.

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