Sequences of Nahm pole solutions to the SU(2) Kapustin-Witten equations
Differential Geometry
2022-03-29 v2 Geometric Topology
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.
Cite
@article{arxiv.1805.02773,
title = {Sequences of Nahm pole solutions to the SU(2) Kapustin-Witten equations},
author = {Clifford Henry Taubes},
journal= {arXiv preprint arXiv:1805.02773},
year = {2022}
}
Comments
Some typos corrected and some arguments simplified in this version