Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of Bousquet-M\'elou-Schaeffer numbers in the light of
  topological recursion   In this paper we prove, in a purely combinatorial way, a structural
quasi-polynomiality property for the Bousquet-M\'elou-Schaeffer numbers.
Conjecturally, this property should follow from the Chekhov-Eynard-Orantin
topological recursion for these numbers (or, to be more precise, the
Bouchard-Eynard version of the topological recursion for higher order critical
points), which we derive in this paper from the recent result of
Alexandrov-Chapuy-Eynard-Harnad. To this end, the missing ingredient is a
generalization to the case of higher order critical points on the underlying
spectral curve of the existing correspondence between the topological recursion
and Givental's theory for cohomological field theories.

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The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th