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The Orlik-Terao algebra and the cohomology of configuration space

We give a recursive algorithm for computing the Orlik-Terao algebra of the Coxeter arrangement of type A_{n-1} as a graded representation of S_n, and we give a conjectural description of this representation in terms of the cohomology of the configuration space of n points in SU(2) modulo translation. We also give a version of this conjecture for more general graphical arrangements.

preprint2016arXivOpen access
Daniel MoseleyNicholas ProudfootBen Young
math.ATmath.COmath.RT
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Daniel MoseleyNicholas ProudfootBen Young

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