Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Twisted Poincar\'e Lemma and Twisted \v{C}ech-de Rham Isomorphism in
  case of Projective Line   In this paper, we give a direct proof of the twisted Poincar\'{e} lemma by
using the integrations over regularized paths. This method tells us a concrete
description of the \v{C}ech-de Rham isomorphism.

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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: solv-int