Decomposition theorem for the cd-index of Gorenstein* posets
Combinatorics
2007-05-23 v1 Algebraic Geometry
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.
Cite
@article{arxiv.math/0611440,
title = {Decomposition theorem for the cd-index of Gorenstein* posets},
author = {Richard Ehrenborg and Kalle Karu},
journal= {arXiv preprint arXiv:math/0611440},
year = {2007}
}
Comments
22 pages, submitted to Journal of Algebraic Combinatorics