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

Abstract

We provide a new virtual description of the symmetric group action on the cohomology of ordered configuration space on SU2 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 An.

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