Geometric quantities arising from bubbling analysis of mean field equations

Chang-Shou Lin, Chin-Lung Wang

Let $E=\mathbb{C}/\Lambda$ be a flat torus and $G$ be its Green function with singularity at $0$. Consider the multiple Green function $G_n$ on $E^n$: $$G_{n}(z_1,\cdots,z_n) := \sum_{i <…