Decomposition theorem for the cd-index of Gorenstein* posets

Authors:
Richard Ehrenborg;Kalle Karu
Affiliations:
Department of Mathematics, University of Kentucky, Lexington, USA 40506;Department of Mathematics, University of Kentucky, Lexington, USA 40506
Venue:
Journal of Algebraic Combinatorics: An International Journal
Year:
2007

Citing 3
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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.