Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Genus zero Gopakumar-Vafa invariants of the Banana manifold   The Banana manifold $X_{\text{Ban}}$ is a compact Calabi-Yau threefold
constructed as the conifold resolution of the fiber product of a generic
rational elliptic surface with itself, first studied by Bryan. We compute
Katz's genus 0 Gopakumar-Vafa invariants of fiber curve classes on the Banana
manifold $X_{\text{Ban}}\to \mathbf{P}^1$. The weak Jacobi form of weight -2
and index 1 is the associated generating function for these genus 0
Gopakumar-Vafa invariants. The invariants are shown to be an actual count of
structure sheaves of certain possibly nonreduced genus 0 curves on the
universal cover of the singular fibers of $X_{\text{Ban}}\to \mathbf{P}^1$.

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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: cs