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

2023/12/24 by Andrist, Rafael B., Huang, Gaofeng
#14D21 #14J42 #32M17 #32Q56 #Algebraic Geometry (math.AG) #Complex Variables (math.CV) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2312.15545

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 SU(2) instantons on a non-commutative ℝ⁴.

Related

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• Harmonic locus and Calogero-Moser spaces
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