Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Louis J. Billera; Eran Nevo

doi:10.1007/s00454-012-9449-x

Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Louis J. Billera, Eran Nevo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1048-1057
Number of pages	10
Journal	Discrete and Computational Geometry
Volume	48
Issue number	4
DOIs	https://doi.org/10.1007/s00454-012-9449-x
State	Published - 1 Dec 2012

Keywords

Bier poset
Multiplex
Polytopes
Toric g-vector

ASJC Scopus subject areas

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

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10.1007/s00454-012-9449-x

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title = "Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector",

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.",

keywords = "Bier poset, Multiplex, Polytopes, Toric g-vector",

author = "Billera, \{Louis J.\} and Eran Nevo",

note = "Funding Information: Research of the first author was partially supported by NSF grant DMS-0555268; that of the second author was partially supported by NSF grant DMS-0757828 and by Marie Curie grant IRG-270923. ",

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doi = "10.1007/s00454-012-9449-x",

language = "English",

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T1 - Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

AU - Billera, Louis J.

AU - Nevo, Eran

N1 - Funding Information: Research of the first author was partially supported by NSF grant DMS-0555268; that of the second author was partially supported by NSF grant DMS-0757828 and by Marie Curie grant IRG-270923.

PY - 2012/12/1

Y1 - 2012/12/1

N2 - 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.

AB - 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.

KW - Bier poset

KW - Multiplex

KW - Polytopes

KW - Toric g-vector

UR - https://www.scopus.com/pages/publications/84870321702

U2 - 10.1007/s00454-012-9449-x

DO - 10.1007/s00454-012-9449-x

M3 - Article

AN - SCOPUS:84870321702

SN - 0179-5376

VL - 48

SP - 1048

EP - 1057

JO - Discrete and Computational Geometry

JF - Discrete and Computational Geometry

IS - 4

ER -

Nonpolytopal Nonsimplicial Lattice Spheres with Nonnegative Toric g-Vector

Abstract

Keywords

ASJC Scopus subject areas

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