On face vectors of barycentric subdivisions of manifolds

Satoshi Murai

doi:10.1137/090765365

On face vectors of barycentric subdivisions of manifolds

Satoshi Murai^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

We study face vectors of barycentric subdivisions of simplicial homology manifolds. Recently, Kubitzke and Nevo proved that the g-vector of the barycentric subdivision of a Cohen-Macaulay simplicial complex is an M-vector, which in particular proves the g-conjecture for barycentric subdivisions of simplicial homology spheres. In this paper, we prove an analogue of this result for Buchsbaum simplicial posets and simplicial homology manifolds.

Original language	English
Pages (from-to)	1019-1037
Number of pages	19
Journal	SIAM Journal on Discrete Mathematics
Volume	24
Issue number	3
DOIs	https://doi.org/10.1137/090765365
Publication status	Published - 2010
Externally published	Yes

Keywords

Barycentric subdivisions
Face vectors
Simplicial manifolds
Unimodality

ASJC Scopus subject areas

Mathematics(all)

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10.1137/090765365

Cite this

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AB - We study face vectors of barycentric subdivisions of simplicial homology manifolds. Recently, Kubitzke and Nevo proved that the g-vector of the barycentric subdivision of a Cohen-Macaulay simplicial complex is an M-vector, which in particular proves the g-conjecture for barycentric subdivisions of simplicial homology spheres. In this paper, we prove an analogue of this result for Buchsbaum simplicial posets and simplicial homology manifolds.

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KW - Face vectors

KW - Simplicial manifolds

KW - Unimodality

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On face vectors of barycentric subdivisions of manifolds

Abstract

Keywords

ASJC Scopus subject areas

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