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.
Pagaria R. (2023). The Frobenius Characteristic of the Orlik-Terao Algebra of Type A. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2023(13), 11577-11591 [10.1093/imrn/rnac169].
The Frobenius Characteristic of the Orlik-Terao Algebra of Type A
Pagaria R.
2023
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.File in questo prodotto:
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