Brauer-Severi motives and Donaldson-Thomas invariants of quantized threefolds

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 [3]. As an example we confirm the second term of the conjectured expression for the motivic series of the homogenized Weyl algebra.

Publication year:2018