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

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. We use this approach to test some conjectural exponential expressions for these invariants, proposed in [3].