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arXiv · 1712.00071

Factorization statistics and the twisted Grothendieck-Lefschetz formula

Trevor Hyde
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Abstract

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 $\mathbb{R}^2$.

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Trevor Hyde. 2017-11-30. Factorization statistics and the twisted Grothendieck-Lefschetz formula. https://arxiv.org/abs/1712.00071

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