The Density Property for Generalized Calogero--Moser Spaces with Inner Degrees of Freedom

Abstract

We prove the density property for generalized Calogero--Moser spaces with inner degrees of freedom. This allows us to describe the holomorphic automorphism group of these complex affine manifolds. These generalized Calogero--Moser spaces can also be understood as quiver varieties corresponding to moduli spaces of $\mathrm{SU}(2)$ instantons on a non-commutative ${\mathbb{R}}^4$.

The results of this preprint are now contained in the much more general result of the new preprint arXiv:2502.13903 with different co-authors