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arXiv · 2505.05439

Stabilization of Kac polynomials along root strings

Vladyslav Zveryk
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Abstract

We study the stabilization behavior of cohomology groups associated with moduli spaces of quiver representations for a fixed quiver $Q$. Under mild conditions on a dimension vector $δ$, we show that the dimensions of these cohomology groups stabilize when a sufficiently large multiple of $δ$ is added. We derive explicit formulas for the stabilized dimensions and, in particular, obtain stabilization of the coefficients of Kac polynomials.

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Vladyslav Zveryk. 2025-10-08. Stabilization of Kac polynomials along root strings. https://arxiv.org/abs/2505.05439

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