Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized Thomas-Yau Uniqueness Theorems   We generalize Thomas-Yau's uniqueness theorem in two ways. We prove a
stronger statement for special Lagrangians and include minimal Lagrangians in
K\"ahler-Einstein manifold or more generally J-minimal Lagrangians introduced
by Lotay and Pacini. In every case the heart of the proof is to make certain
Hamiltonian perturbations. For this we use the method by Imagi, Joyce and
Oliveira dos Santos.

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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex