The flag f-vectors of Gorenstein* order complexes of dimension 3

Satoshi Murai, Eran Nevo

研究成果: Article査読

5 被引用数 (Scopus)

抄録

We characterize the cd-indices of Gorenstein* posets of rank 5, equivalently the flag f-vectors of order complexes triangulating rational homology 3-spheres, and show they are also the characterization of the flag f-vectors of the subfamily of regular CW-complexes homeomorphic to the 3-sphere. As a corollary, we characterize the f-vectors of Gorenstein* order complexes in dimensions 3 and 4. This characterization gives rise to a speculated intimate connection between the f-vectors of flag homology spheres and the f-vectors of Gorenstein* order complexes.

本文言語English
ページ(範囲)1527-1538
ページ数12
ジャーナルProceedings of the American Mathematical Society
142
5
DOI
出版ステータスPublished - 2014 3 3
外部発表はい

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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