Brauer-Severi motives and Donaldson-Thomas invariants of quantized 3-folds
arXiv:1604.08556
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.
Simplified some inductive formulas and corrected an erroneous summing up of motives at the end of the Weyl algebra section