A complete g-vector for convex polytopes

2010/01/10 by Jonathan Fine, Fine, Jonathan
Mathematics · #52B11 #55N33 #Combinatorics (math.CO) #FOS: Mathematics #K-Theory and Homology (math.KT) #math.CO #math.KT #msc:52B11 #msc:55N33

paper · pdf · doi:10.48550/arxiv.1001.1562

3 pages. LaTeX

arxiv created 2010/01/10 · arxiv updated 2010/01/14

Abstract

We define an extension of the toric (middle perversity intersection homology) g-vector of a convex polytope X. The extended g(X) encodes the whole of the flag vector f(X) of X, and so is called complete. We find that for many examples that g_k(X)≥ 0 for most k (independent of X).

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