Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inversion of integral series enumerating planar trees   We consider an integral series f(X,t) which depends on the choice of a set X
of labelled planar rooted trees. We prove that its inverse for composition is
of the form f(Z,t) for another set Z of trees, deduced from X. The proof is
self-contained, though inspired by the Koszul duality theory of quadratic
operads.

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The categories of this paper are: hep-ex
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: supr-con
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga