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 - http://www.scopus.com/inward/record.url?scp=84894554262&partnerID=8YFLogxK
U2 - 10.1090/S0002-9939-2014-11897-1
DO - 10.1090/S0002-9939-2014-11897-1
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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 -