  This is a written version of lectures that I would have given myself about
aspects of the differential operator that is obtained from the linearized
Kapustin-Witten equations on the product of the half-line with a compact,
oriented, Riemannian 3-manifold. These lectures concern for the most part
certain instances of much more general theorems of R. Mazzeo and E. Witten.
There is also a 'lecture series' about the asymptotics of solutions to the same
Kapustin-Witten equations as the half-line parameter limits to infinity.
