12 citations · 41 across the 6 of their papers we have counts for
9 papers
Motivic Donaldson--Thomas invariants of some quantized threefolds
Alberto Cazzaniga, Andrew Morrison, Brent Pym +1
This paper is motivated by the question of how motivic Donaldson--Thomas invariants behave in families. We compute the invariants for some simple families of noncommutative Calabi-…
Two Murnaghan-Nakayama rules in Schubert calculus
Andrew Morrison, Frank Sottile
The Murnaghan-Nakayama rule expresses the product of a Schur function with a Newton power sum in the basis of Schur functions. We establish a version of the Murnaghan-Nakayama rule…
Motivic classes of generalized Kummer schemes via relative power structures
Andrew Morrison, Junliang Shen
We develop a power structure over the Grothendieck ring of varieties relative to an abelian monoid, which allows us to compute the motivic class of the generalized Kummer scheme. W…
A Gaussian distribution for refined DT invariants and 3D partitions
Andrew Morrison
We show that the refined Donaldson-Thomas invariants of C3, suitably normalized, have a Gaussian distribution as limit law. Combinatorially these numbers are given by weighted coun…
Behrend's function is constant on Hilb^n(C^3)
Andrew Morrison
We prove that Behrend's function is constant on Hilb^n(C^3). A calculation of motivic zeta functions shows the relevant Milnor fibers have zero Euler characteristic. As a corollary…
Motivic Classes of Commuting Varieties via Power Structures
Jim Bryan, Andrew Morrison
We prove a formula, originally due to Feit and Fine, for the class of the commuting variety in the Grothendieck group of varieties. Our method, which uses a power structure on the…