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arXiv · 2504.12716

Twistor construction of some multivalued harmonic functions on ${\bf R}^{3}$

Simon Donaldson
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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.

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Simon Donaldson. 2025-04-17. Twistor construction of some multivalued harmonic functions on ${\bf R}^{3}$. https://arxiv.org/abs/2504.12716

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