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math.CO2011
Nonpolytopal nonsimplicial lattice spheres with nonnegative toric g-vector
Louis J. Billera, Eran Nevo
We construct many nonpolytopal nonsimplicial Gorenstein* meet semi-lattices with nonnegative toric g-vector, supporting a conjecture of Stanley. These are formed as Bier spheres ov…
math.CO2011★ 2 cited
The flag f-vectors of Gorenstein* order complexes of dimension 3
Satoshi Murai, Eran Nevo
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…
math.CO2011
On the cd-index and gamma-vector of S*-shellable CW-spheres
Satoshi Murai, Eran Nevo
We show that the -vector of the order complex of any polytope is the f-vector of a balanced simplicial complex. This is done by proving this statement for a subclass of Stanley'…