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

preprint2020arXivOpen access

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

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

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The R\mathbb{R}R invariant solutions to the Kapustin Witten equations on (0,∞)×R2×R(0,\infty) \times \mathbb{R}^2 \times \mathbb{R}(0,∞)×R2×R with generalized Nahm pole asymptotics

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