Abstract
We establish a geometric interpretation of orientifold Donaldson–Thomas invariants of \(\sigma \)-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 \(\sigma \)-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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Franzen, H., Young, M.B. Cohomological orientifold Donaldson–Thomas invariants as Chow groups. Sel. Math. New Ser. 24, 2035–2061 (2018). https://doi.org/10.1007/s00029-018-0415-1
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DOI: https://doi.org/10.1007/s00029-018-0415-1