Higher rank motivic Donaldson–Thomas invariants of 𝔸3 via wall-crossing, and asymptotics

Abstract

We compute, via motivic wall-crossing, the generating function of virtual motives of the Quot scheme of points on 𝔸3, generalising to higher rank a result of Behrend–Bryan–Szendrői. We show that this motivic partition function converges to a Gaussian distribution, extending a result of Morrison.

Authors

Alberto Cazzaniga, Dimbinaina Ralaivaosaona, Andrea T. Ricolfi

Journal

Mathematical Proceedings

Publication Date

05/05/2022

Consult the publication