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arXiv · 2004.07020

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

Alberto Cazzaniga·Dimbinaina Ralaivaosaona·Andrea T. Ricolfi
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Abstract

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, Bryan and Szendr\H{o}i. We show that this motivic partition function converges to a Gaussian distribution, extending a result of Morrison.

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Alberto Cazzaniga, Dimbinaina Ralaivaosaona, Andrea T. Ricolfi. 2020-04-15. Higher rank motivic Donaldson-Thomas invariants of $\mathbb{A}^3$ via wall-crossing, and asymptotics. https://arxiv.org/abs/2004.07020

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