Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector |
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| Authors: | Louis J Billera Eran Nevo |
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| Institution: | 1. Department of Mathematics, Cornell University, Ithaca, NY, 14853-4201, USA
2. Department of Mathematics, Ben-Gurion University of the Negev, Beersheba, 84105, Israel
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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 multiplexes, polytopes constructed by Bisztriczky as generalizations of simplices. |
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