ℎ-vectors of simplicial cell balls

Murai, Satoshi

doi:10.1090/S0002-9947-2012-05674-1

$h$-vectors of simplicial cell balls
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Trans. Amer. Math. Soc. 365 (2013), 1533-1550 Request permission

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.

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