Harmonic functions and instanton moduli spaces on the multi-Taub--NUT space

Understand

Explicit construction of the basic SU(2) anti-instantons over the multi-Taub--NUT geometry via the classical conformal rescaling method is exhibited.

• These anti-instantons satisfiy the so-called weak holonomy condition at infinity with respect to the trivial flat connection and decay rapidly.
• The resulting unital energy anti-instantons have trivial holonomy at infinity.
• We also fully describe their unframed moduli space and find that it is a five dimensional space admitting a singular disk-fibration over R^3.