The $\mathbb{R}$ invariant solutions to the Kapustin Witten equations on $(0,\mathrm{\infty })\times {\mathbb{R}}^2\times \mathbb{R}$ with generalized Nahm pole asymptotics

This paper supplies a new characterization of the Kapustin Witten equation solutions on $(0,\mathrm{\infty })\times {\mathbb{R}}^2\times \mathbb{R}$ that play a key role in Edward Witten’s program to obtain the Jones polynomial knot invariants using solutions to the same equation on $(0,\mathrm{\infty })\times S^3$.