Instanton Counting and Donaldson-Thomas Theory on Toric Calabi-Yau Four-Orbifolds

Richard J. Szabo, Michelangelo Tirelli

We study rank $r$ cohomological Donaldson-Thomas theory on a toric Calabi-Yau orbifold of ${\mathbb{C}}^4$ by a finite abelian subgroup $\mathsf{\Gamma }$ of $\mathsf{SU}(4)$, from the persp…