Publications (9)
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…
Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex
Andrew Morrison, Sergey Mozgovoy, Kentaro Nagao +1
We compute the motivic Donaldson-Thomas theory of the resolved conifold, in all chambers of the space of stability conditions of the corresponding quiver. The answer is a product f…
Motivic invariants of quivers via dimensional reduction
Andrew Morrison
We provide a reduction formula for the motivic Donaldson-Thomas invariants associated to a quiver with superpotential. The method is valid provided the superpotential has a linear…
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…