Higher rank motivic Donaldson-Thomas invariants of via wall-crossing, and asymptotics
Mathematical Proceedings of the Cambridge Philosophical Society, Volume 174, No. 1, Year 2023
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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-SzendrÅ'i. We show that this motivic partition function converges to a Gaussian distribution, extending a result of Morrison.