Higher rank motivic Donaldson-Thomas invariants of \mathbbA³ via wall-crossing, and asymptotics

2020/04/15 by Alberto Cazzaniga, Cazzaniga, Alberto, Dimbinaina Ralaivaosaona +3
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2004.07020

openalex publication_date 2020/04/15 · openalex created_date 2020/04/24 · openalex updated_date 2026/07/28

Abstract

We compute, via motivic wall-crossing, the generating function of virtual motives of the Quot scheme of points on \mathbbA³, 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.

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• Motivic degree zero Donaldson-Thomas invariants
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