paper

Higher rank motivic Donaldson-Thomas invariants of via wall-crossing, and asymptotics

arXiv:2004.07020

Abstract

We compute, via motivic wall-crossing, the generating function of virtual motives of the Quot scheme of points on , generalising to higher rank a result of Behrend, Bryan and Szendrői. We show that this motivic partition function converges to a Gaussian distribution, extending a result of Morrison.

Comments welcome. 18 pages

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