On face vectors of barycentric subdivisions of manifolds

Research output: Contribution to journalArticle

5 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 languageEnglish
Pages (from-to)1019-1037
Number of pages19
JournalSIAM Journal on Discrete Mathematics
Volume24
Issue number3
DOIs
Publication statusPublished - 2010 Oct 26

Keywords

  • Barycentric subdivisions
  • Face vectors
  • Simplicial manifolds
  • Unimodality

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'On face vectors of barycentric subdivisions of manifolds'. Together they form a unique fingerprint.

  • Cite this