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Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Discrete and Computational Geometry (2012) 48(4) 1048-1057
DOI: 10.1007/s00454-012-9449-x
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Abstract

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 over the face posets of multiplexe, polytopes constructed by Bisztriczky as generalizations of simplices. © 2012 Springer Science+Business Media, LLC.

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Billera, L. J., & Nevo, E. (2012). Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector. Discrete and Computational Geometry, 48(4), 1048–1057. https://doi.org/10.1007/s00454-012-9449-x

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