The Frobenius character of the Orlik-Terao algebra of type A
arXiv:2203.08265 · doi:10.1093/imrn/rnac169
Abstract
We provide a new virtual description of the symmetric group action on the cohomology of ordered configuration space on SU_2 up to translations. We use this formula to prove the Moseley-Proudfoot-Young conjecture. As a consequence we obtain the graded Frobenius character of the Orlik-Terao algebra of type A_n.
12 pages, corrected a lemma and added generating functions