On the Mobius function of a lower Eulerian Cohen-Macaulay poset

Details On the Mobius function of a lower Eulerian Cohen-Macaulay poset On the Mobius function of a lower Eulerian Cohen-Macaulay poset

2011-05-16

arxiv.org/abs/1105.3148v2

Mathematics

Combinatorics

Final version; comments by the referees incorporated

Scientific paper

A certain inequality is shown to hold for the values of the Mobius function of the poset obtained by attaching a maximum element to a lower Eulerian Cohen-Macaulay poset. In two important special cases, this inequality provides partial results supporting Stanley's nonnegativity conjecture for the toric h-vector of a lower Eulerian Cohen-Macaulay meet-semilattice and Adin's nonnegativity conjecture for the cubical h-vector of a Cohen-Macaulay cubical complex.

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