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Brauer-Severi motives and Donaldson-Thomas invariants of quantized 3-folds (1604.08556v3)
Published 28 Apr 2016 in math.RT, math.AG, math.QA, and math.RA
Abstract: Motives of Brauer-Severi schemes of Cayley-smooth algebras associated to homogeneous superpotentials are used to compute inductively the motivic Donaldson-Thomas invariants of the corresponding Jacobian algebras. This approach can be used to test the conjectural exponential expressions for these invariants, proposed in arXiv:1510.08116. As an example we confirm the second term of the conjectured expression for the motivic series of the homogenised Weyl algebra.
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