Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Louis J. Billera, Eran Nevo

Research output: Contribution to journalArticlepeer-review


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.

Original languageAmerican English
Pages (from-to)1048-1057
Number of pages10
JournalDiscrete and Computational Geometry
Issue number4
StatePublished - 1 Dec 2012


  • Bier poset
  • Multiplex
  • Polytopes
  • Toric g-vector

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics


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