Twistor construction of some multivalued harmonic functions on ${\bf R}^{3}$
Published: Apr 17, 2025
Last Updated: Apr 17, 2025
Authors:Simon Donaldson
Abstract
In this paper twistor methods are used to construct a family of multivalued harmonic functions on ${\bf R}^{3}$ which were obtained by Dashen Yan using different methods. The branching sets for the solutions are ellipses and the functions have quadratic growth at infinity.