The Frobenius Characteristic of the Orlik–Terao Algebra of Type A

The Frobenius Characteristic 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 $SU_2$ 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...

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Veröffentlicht in:International mathematics research notices 2023-06, Vol.2023 (13), p.11577-11591
1. Verfasser: Pagaria, Roberto
Format: Artikel
Sprache:eng
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Zusammenfassung: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 $A_n$.
ISSN:1073-7928
1687-0247
DOI:10.1093/imrn/rnac169