Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fibonacci, golden ratio, and vector bundles   There is a family of vector bundles over the moduli space of stable curves
that, while first appearing in theoretical physics, has been an active topic of
study for algebraic geometers since the 1990s. By computing the rank of the
exceptional group $G_2$ case of these bundles in three different ways, we
derive a family of summation formulas for Fibonacci numbers in terms of the
golden ratio.

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
32
The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: cmp-lg