Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable curves and screens on fatgraphs   The mapping class group invariant ideal cell decomposition of the
Teichmueller space of a punctured surface times an open simplex has been used
in a number of computations. This paper answers a question about the
asymptotics of this decomposition, namely, in a given cell of the
decomposition, which curves can be short? Screens are a new combinatorial
structure which provide an answer to this question. The heart of the
calculation here involves Ptolemy transformations and the triangle inequalities
on lambda lengths.

7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
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The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg