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The flag f-vectors of Gorenstein* order complexes of dimension 3 (1108.0572v1)
Published 2 Aug 2011 in math.CO
Abstract: We characterize the cd-indices of Gorenstein* posets of rank 5, equivalently the flag f-vectors of Gorenstein* order complexes of dimension 3. As a corollary, we characterize the f-vectors of Gorenstein* order complexes in dimensions 3 and 4. This characterization rise a speculated intimate connection between the f-vectors of flag homology spheres and the f-vectors of Gorenstein* order complexes.
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