The Frobenius character of the Orlik-Terao algebra of type A
Roberto Pagaria
TL;DR
This paper derives a new virtual symmetric group action description on the cohomology of ordered configuration spaces, proving a conjecture and determining the Frobenius character of the Orlik-Terao algebra of type A.
Contribution
It introduces a novel virtual description of the symmetric group action and computes the Frobenius character of the Orlik-Terao algebra of type A.
Findings
Proved the Moseley-Proudfoot-Young conjecture.
Derived the graded Frobenius character of the Orlik-Terao algebra.
Provided a new virtual description of the symmetric group action.
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Algebra and Geometry · Advanced Combinatorial Mathematics