Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subdividing the cd-index of Eulerian Posets   This thesis aims to give the reader an introduction and overview of the
cd-index of a poset, as well as establish some new results. We give a
combinatorial proof of Ehrenborg and Karu's cd-index subdivision decomposition
for Gorenstein* complexes and extend it to a wider class of subdivisions. In
doing so, we define a local cd-index that behaves analogously to the well
studied local h-vector. We examine known cd-index and h-vector bounds, and then
use the local cd-index to bound a particular class of polytopes with the
cd-index of a stacked polytope. We conclude by investigating the h-vector and
local h- vector of posets in full generality, and use an algebra morphism
developed by Bayer and Ehrenborg to demonstrate the structural connection
between the cd-index subdivision decomposition and the local h-vector
subdivision decomposition. iii

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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: quant-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: physics
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat