Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Strings, Two-Dimensional Yang-Mills Theory and Chern-Simons
  Theory on Torus Bundles   We study the relations between two-dimensional Yang-Mills theory on the
torus, topological string theory on a Calabi-Yau threefold whose local geometry
is the sum of two line bundles over the torus, and Chern-Simons theory on torus
bundles. The chiral partition function of the Yang-Mills gauge theory in the
large N limit is shown to coincide with the topological string amplitude
computed by topological vertex techniques. We use Yang-Mills theory as an
efficient tool for the computation of Gromov-Witten invariants and derive
explicitly their relation with Hurwitz numbers of the torus. We calculate the
Gopakumar-Vafa invariants, whose integrality gives a non-trivial confirmation
of the conjectured nonperturbative relation between two-dimensional Yang-Mills
theory and topological string theory. We also demonstrate how the gauge theory
leads to a simple combinatorial solution for the Donaldson-Thomas theory of the
Calabi-Yau background. We match the instanton representation of Yang-Mills
theory on the torus with the nonabelian localization of Chern-Simons gauge
theory on torus bundles over the circle. We also comment on how these results
can be applied to the computation of exact degeneracies of BPS black holes in
the local Calabi-Yau background.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga