Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Descent properties of the topological chiral homology   We study descent properties of Jacob Lurie's topological chiral homology. We
prove that this homology theory satisfies descent for a factorizing cover, as
defined by Kevin Costello and Owen Gwilliam. We also obtain a generalization of
Lurie's approach to this homology theory, which leads to a product formula for
the infinity $1$-category of factorization algebras, and its twisted
generalization.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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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: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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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: comp-gas
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The categories of this paper are: patt-sol