On the Mobius function of a lower Eulerian Cohen-Macaulay poset
Combinatorics
2011-07-06 v2
Abstract
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.
Cite
@article{arxiv.1105.3148,
title = {On the Mobius function of a lower Eulerian Cohen-Macaulay poset},
author = {Christos A. Athanasiadis},
journal= {arXiv preprint arXiv:1105.3148},
year = {2011}
}
Comments
Final version; comments by the referees incorporated