Sequences of Nahm pole solutions to the SU(2) Kapustin-Witten equations

Clifford Henry Taubes

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arXiv · 1805.02773

Sequences of Nahm pole solutions to the SU(2) Kapustin-Witten equations

Clifford Henry Taubes

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Abstract

This paper describes the behavior of sequences of solutions to the Kapustin-Witten equations with Nahm pole asymptotics on the product of the half-line with a compact, oriented, Riemannian 3-manifold. These sequences have sub-sequences that either converge to another solution after acting term-wise by an automorphism of the principle bundle, or they converge after renormalization to a (weak) Z/2 harmonic 1-form from the 3-manifold; it is independent of the half-line coordinate in the product structure.

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Clifford Henry Taubes. 2018-05-07. Sequences of Nahm pole solutions to the SU(2) Kapustin-Witten equations. https://arxiv.org/abs/1805.02773

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