Decomposition theorem for the cd-index of Gorenstein* posets

2006/11/14 by Ehrenborg, Richard, Karu, Kalle · 2 citations
#14F43 #52B05 #52C07 #Algebraic Geometry (math.AG) #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0611440

Abstract

We prove a decomposition theorem for the cd-index of a Gorenstein* poset analogous to the decomposition theorem for the intersection cohomology of a toric variety. From this we settle a conjecture of Stanley that the cd-index of Gorenstein* lattices is minimized on Boolean algebras.

Cited by

• Subdivisions of lower Eulerian posets and KLS theory
• Subdivisions of lower Eulerian posets

Related

• Subdividing the cd-index of Eulerian Posets
• Poset subdivisions and the mixed cd-index
• The cd-index of semi-Eulerian posets
• The cd-index of fans and lattices
• Squarefree P-modules and the cd-index