Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: P=W for Lagrangian fibrations and degenerations of hyper-K\"ahler
  manifolds   We identify the perverse filtration of a Lagrangian fibration with the
monodromy weight filtration of a maximally unipotent degeneration of compact
hyper-K\"ahler manifolds.

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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn