Resumen de Cohomological orientifold Donaldson–Thomas invariants as Chow groups

Hans Franzen, Matthew P. Young

• We establish a geometric interpretation of orientifold Donaldson–Thomas invariants of σ -symmetric quivers with involution. More precisely, we prove that the cohomological orientifold Donaldson–Thomas invariant is isomorphic to the rational Chow group of the moduli space of σ -stable self-dual quiver representations. As an application we prove that the Chow Betti numbers of moduli spaces of stable m-tuples in classical Lie algebras can be computed numerically. We also prove a cohomological wall-crossing formula relating semistable Hall modules for different stabilities.