Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lattice Spectral Sequences and Cohomology of Configuration Spaces   For a topological space $X$, we introduce a criterion for the $\rm FI$ module
$H^i({\rm Conf}_n(X))$ to be finitely generated and give several applications.
For instance, if $C$ is a finite connected $CW$ complex, then $X = C \times
\mathbb{R}^2$ satisfies the criterion. Our main tool is a spectral sequence
that we derive from the homological algebra of the partition lattice.

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The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ