We compute, via motivic wall-crossing, the generating function of virtual motives of the Quot scheme of points on A(3), generalising to higher rank a result of Behrend-Bryan-Szendroi. We show that this motivic partition function converges to a Gaussian distribution, extending a result of Morrison.
Higher rank motivic Donaldson-Thomas invariants of A3 via wall-crossing, and asymptotics / Cazzaniga, A.; Ralaivaosaona, D.; Ricolfi, A. T.. - In: MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. - ISSN 0305-0041. - 174:1(2022), pp. 97-122. [10.1017/s0305004122000159]
Higher rank motivic Donaldson-Thomas invariants of A3 via wall-crossing, and asymptotics
RICOLFI, A. T.
2022-01-01
Abstract
We compute, via motivic wall-crossing, the generating function of virtual motives of the Quot scheme of points on A(3), generalising to higher rank a result of Behrend-Bryan-Szendroi. We show that this motivic partition function converges to a Gaussian distribution, extending a result of Morrison.File in questo prodotto:
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