Deformations of instanton metrics (Q6164945)

A class of bow varieties describes, via an analog of the ADHM construction, moduli spaces of (framed) instantons on ALF-spaces. The authors discuss a class of bow varieties which can be viewed as Taub-NUT deformations of moduli spaces of instantons on noncommutative \(\mathbb{R}^4\) via spectral curves and line bundles. The deformations \(\mu_i\) change the space geometry from a higher-dimensional ALE to ALF kind (see Figure 1 on page 5). Via a generalized Legendre transform, they find the Kähler potential on each of these spaces.