Resumen de Donaldson–Thomas theory of [C2/Zn+1] × P1

Zijun Zhou

• We study the relative orbifold Donaldson–Thomas theory of [C2/Zn+1] × P1. A correspondence is established between the DT theory relative to disjoint union of vertical fibers to quantum multiplication by divisors for the Hilbert scheme of points on [C2/Zn+1]. This determines a correspondence between the whole theories if a further nondegeneracy condition is assumed. The result can also be viewed as a crepant resolution correspondence to the DT theory of An × P1.