Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cohomology of configuration spaces on punctured varieties   We describe how the rational cohomology groups of unordered configuration
spaces are affected by puncturing a point from the base space, by giving an
identity involving Betti numbers that holds whenever the base space is a smooth
noncompact complex variety satisfying a flexible mixed-Hodge-theoretic
assumption. This extends certain results of Napolitano and Kallel. We also
obtain a similar identity involving mixed Hodge numbers, which refines the
identity about Betti numbers. Furthermore, we refine the above results to an
equivariant theorem about the cohomology of ordered configuration spaces. Our
approach involves explicit algebraic computations based on an Orlik--Solomon
spectral sequence.

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The categories of this paper are: stat
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
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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: math-ph
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas