Higher rank motivic Donaldson–Thomas invariants of via wall-crossing, and asymptotics-Reference-Cited by-同舟云学术

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

Published:2022-05-05 Issue:1 Volume:174 Page:97-122
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

CAZZANIGA ALBERTO,RALAIVAOSAONA DIMBINAINA,RICOLFI ANDREA T.

Abstract

AbstractWe 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–Szendrői. We show that this motivic partition function converges to a Gaussian distribution, extending a result of Morrison.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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