f-vectors of Simplicial Posets that are Balls

2010/09/10 by Samuel Kolins, Kolins, Samuel
Mathematics · #05E99 (Primary) 55U10 #13F50 (Secondary) #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Geometric Topology (math.GT) #math.AC #math.CO #math.GT #msc:05E99 #msc:13F50 #msc:13F55 #msc:55U10

paper · pdf · doi:10.48550/arxiv.1009.1917

25 pages

arxiv created 2010/09/10 · arxiv updated 2010/09/13

Abstract

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 order complex is a ball. Using the face rings of these posets, we develop a series of new conditions on their h-vectors. We also present new methods for constructing poset balls with specific h-vectors. These results allow us to give a complete characterization of the h-vectors of simplicial poset balls up through dimension six.

Related

• h-Vectors of simplicial cell balls
• h-vectors of Gorenstein* simplicial posets
• A classification of the face numbers of Buchsbaum simplicial posets
• f-Vectors of Triangulated Balls
• Face vectors of simplicial cell decompositions of manifolds