Cohomological orientifold Donaldson-Thomas invariants as Chow groups

2016/05/21 by Franzen, Hans, Young, Matthew B.
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1605.06596

Abstract

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.

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