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

Satoshi Murai; Eran Nevo

doi:10.1090/S0002-9939-2014-11897-1

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

Satoshi Murai
, Eran Nevo

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

7 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1527-1538
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9939-2014-11897-1
State	Published - 2014
Externally published	Yes

Access to Document

10.1090/S0002-9939-2014-11897-1

Cite this

@article{617fa3e29e1c4deab0c5ba7c8bbefbee,

title = "The flag f-vectors of Gorenstein* order complexes of dimension 3",

abstract = "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.",

author = "Satoshi Murai and Eran Nevo",

year = "2014",

doi = "10.1090/S0002-9939-2014-11897-1",

language = "אנגלית",

volume = "142",

pages = "1527--1538",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "5",

}

TY - JOUR

T1 - The flag f-vectors of Gorenstein* order complexes of dimension 3

AU - Murai, Satoshi

AU - Nevo, Eran

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84894554262

U2 - 10.1090/S0002-9939-2014-11897-1

DO - 10.1090/S0002-9939-2014-11897-1

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:84894554262

SN - 0002-9939

VL - 142

SP - 1527

EP - 1538

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 5

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this