# Stabilization of Kac polynomials: some conjectures

@article{Hennecart2020StabilizationOK, title={Stabilization of Kac polynomials: some conjectures}, author={Lucien Hennecart}, journal={arXiv: Representation Theory}, year={2020} }

We give some conjectures concerning the behaviour of Kac polynomials of quivers when increasing the number of arrows: they seem to converge in the ring of power series, with a linear rate of convergence. We prove the convergence for the Kronecker quiver in dimension $(1,d)$. It would be nice to find a geometric interpretation of this, either in terms of Nakajima quiver varieties, or in terms of Lusztig nilpotent varieties. All computations were made using SageMath.

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