Higher rank motivic Donaldson-Thomas invariants of ${\mathbb{A}}^3$ via wall-crossing, and asymptotics

Alberto Cazzaniga, Dimbinaina Ralaivaosaona, Andrea T. Ricolfi

We compute, via motivic wall-crossing, the generating function of virtual motives of the Quot scheme of points on ${\mathbb{A}}^3$, generalising to higher rank a result of Behrend, B…