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arXiv · 1605.06596

Cohomological orientifold Donaldson-Thomas invariants as Chow groups

Hans Franzen·Matthew B. Young
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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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Hans Franzen, Matthew B. Young. 2016-07-26. Cohomological orientifold Donaldson-Thomas invariants as Chow groups. https://arxiv.org/abs/1605.06596

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