  This partially expository paper provides a view of Yang-Mills equations from
the perspective of complex variables, operator theory, and $C^{*}$-algebras.
Through operator-valued pluriharmonic and skew-Hermitian differential forms, it
constructs a new class of instanton solutions. Furthermore, it provides a
complex variable version of the Yang-Mills Lagrangian and the
Belavin-Polyakov-Schwartz-Tyupkin instanton.
