A complete $g$-vector for convex polytopes

Details A complete $g$-vector for convex polytopes A complete $g$-vector for convex polytopes

2010-01-10

arxiv.org/abs/1001.1562v1

Mathematics

Combinatorics

3 pages. LaTeX

Scientific paper

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 $g_k(X)\geq 0$ for most $k$ (independent of $X$).

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