• Corpus ID: 119724669

The integrality conjecture and the cohomology of preprojective stacks

@article{Davison2016TheIC,
title={The integrality conjecture and the cohomology of preprojective stacks},
author={Ben Davison},
journal={arXiv: Algebraic Geometry},
year={2016}
}
• Ben Davison
• Published 5 February 2016
• Mathematics
• arXiv: Algebraic Geometry
By importing the compactly supported cohomology of various stacks of representations of the preprojective algebra $\Pi_Q$, for $Q$ an arbitrary quiver, into the theory of cohomological Donaldson--Thomas invariants, we prove that this cohomology is pure. In addition, we prove a generalisation of Hausel's formula for the Betti numbers of Nakajima quiver varieties, a degeneration result for preprojective cohomological Hall algebras with extra equivariant parameters, and calculate the mixed Hodge…
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