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arXiv · 2203.08265

The Frobenius character of the Orlik-Terao algebra of type A

Roberto Pagaria
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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.

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Roberto Pagaria. 2022-03-15. The Frobenius character of the Orlik-Terao algebra of type A. https://doi.org/10.1093/imrn%2Frnac169

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