Decomposition theorem for the cd-index of Gorenstein* posets

Details Decomposition theorem for the cd-index of Gorenstein* posets Decomposition theorem for the cd-index of Gorenstein* posets

2006-11-14

arxiv.org/abs/math/0611440v1

Mathematics

Combinatorics

22 pages, submitted to Journal of Algebraic Combinatorics

Scientific paper

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.

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