The Orlik-Terao algebra and the cohomology of configuration space
Abstract
We give a recursive algorithm for computing the Orlik-Terao algebra of the Coxeter arrangement of type An-1 as a graded representation of Sn, 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.
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