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Koszul duality of operads and homology of partition posets
Koszul duality operads homology partition posets
2015/3/25
We consider partitions of a set with r elements ordered by refinement. We consider the simplicial complex Kˉ(r) formed by chains of partitions which starts at the smallest element and ends at the larg...
Results of R. Stanley and M. Masuda completely characterize the h-vectors of simplicial posets whose order complexes are spheres. In this paper we examine the corresponding question in the case where ...
The Rees product of posets
Rees product posets
2010/12/10
We determine how the flag f-vector of any graded poset changes under the Rees product with the
chain, and more generally, any t-ary tree. As a corollary, the M¨obius function of the Rees product of a...
Level Eulerian Posets
Level Eulerian Posets
2010/12/8
The notion of level posets is introduced. This class of infinite posets has the property that
between every two adjacent ranks the same bipartite graph occurs. When the adjacency matrix is indecompos...
