Low energy $\varepsilon$-harmonic maps into the round sphere

Andrew M. Roberts

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arXiv · 2602.10913

Low energy $\varepsilon$-harmonic maps into the round sphere

Andrew M. Roberts

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Abstract

In this paper we classify the low energy $\varepsilon$-harmonic maps from the surfaces of constant curvature with positive genus into the round sphere. We find that all such maps with degree $\pm1$ are all quantitively close to a bubble configuration with bubbles forming at special points on the domain with bubbling radius proportional to $\varepsilon^{1/4}$.

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Andrew M. Roberts. 2026-02-11. Low energy $\varepsilon$-harmonic maps into the round sphere. https://arxiv.org/abs/2602.10913

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