Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorial Ricci Curvature for Polyhedral Surfaces and Posets   The combinatorial Ricci curvature of Forman, which is defined at the edges of
a CW complex, and which makes use of only the face relations of the cells in
the complex, does not satisfy an analog of the Gauss-Bonnet Theorem, and does
not behave analogously to smooth surfaces with respect to negative curvature.
We extend this curvature to vertices and faces in such a way that the problems
with combinatorial Ricci curvature are mostly resolved. The discussion is
stated in terms of ranked posets.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: stat