Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: D-Branes on C^3_6 part I: prepotential and GW-invariants   This is the first of a set of papers having the aim to provide a detailed
description of brane configurations on a family of noncompact threedimensional
Calabi-Yau manifolds. The starting point is the singular manifold C^3/Z_6,
which admits five distinct crepant resolutions. Here we apply local mirror
symmetry to partially determine the prepotential encoding the GW-invariants of
the resolved varieties. It results that such prepotential provides all numbers
but the ones corresponding to curves having null intersection with the compact
divisor. This is realized by means of a conjecture, due to S. Hosono, so that
our results provide a check confirming at least in part the conjecture.

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The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: nlin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph