Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization and Conjectures from String Duality   We describe the applications of localization methods, in particular the
functorial localization formula, in the proofs of several conjectures from
string theory. Functorial localization formula pushes the computations on
complicated moduli spaces to simple moduli spaces. It is a key technique in the
proof of the general mirror formulas, the proof of the Hori-Vafa formulas for
explicit expressions of basic hypergeometric series of homogeneous manifolds,
the proof of the Mari\~no-Vafa formula, its generalizations to two partition
analogue. We will also discuss our development of the mathematical theory of
topological vertex and simple localization proofs of the ELSV formula and
Witten conjecture. This is my lecture on the 23rd International Conference of
Differential Geometric Methods in Theoretical Physics Tianjin, 20 - 26 August,
2005.

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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
1
The categories of this paper are: cs
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: stat