Polynomial factorization statistics and point configurations in $\mathbb{R}^3$
Representation Theory
2018-02-02 v1 Combinatorics
Number Theory
Abstract
We use generating functions to relate the expected values of polynomial factorization statistics over to the cohomology of ordered configurations in as a representation of the symmetric group. Our methods lead to a new proof of the twisted Grothendieck-Lefschetz formula for squarefree polynomial factorization statistics of Church, Ellenberg, and Farb.
Cite
@article{arxiv.1802.00305,
title = {Polynomial factorization statistics and point configurations in $\mathbb{R}^3$},
author = {Trevor Hyde},
journal= {arXiv preprint arXiv:1802.00305},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1712.00071