Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorization statistics and the twisted Grothendieck-Lefschetz formula   We announce recent results on a connection between factorization statistics
of polynomials over a finite field and the structure of the cohomology of
configurations in $\mathbb{R}^3$ as a representation of the symmetric group.
This connection parallels a result of Church, Ellenberg, and Farb relating
factorization statistics of squarefree polynomials and the cohomology of
configurations in $\mathbb{R}^2$.

22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
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The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga