Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some mixed Hodge structure on l^2-cohomology of covering of K\"ahler
  manifolds   We give methods to compute l^2-cohomology groups of a covering manifolds
obtained by removing pullback of a (normal crossing) divisor to a covering of a
compact K\"ahler manifold. We prove that in suitable quotient categories, these
groups admit natural mixed Hodge structure whose graded pieces are given by
expected Gysin maps.

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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: astro-ph