Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological model for h"-vectors of simplicial manifolds   Any manifold with boundary gives rise to a Poincare duality algebra in a
natural way. Given a simplicial poset $S$ whose geometric realization is a
closed orientable homology manifold, and a characteristic function, we
construct a manifold with boundary such that graded components of its Poincare
duality algebra have dimensions $h_k"(S)$. This gives a clear topological
evidence for two well-known facts about simplicial manifolds: the nonnegativity
of $h"$-numbers (Novik--Swartz theorem) and the symmetry $h"_k=h"_{n-k}$
(generalized Dehn--Sommerville relations).

25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ