h-Vectors of simplicial cell balls

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 $h$-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.

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

References in corpus (1)

• Face vectors of simplicial cell decompositions of manifolds