Regulated $L^2$ Norm on Certain Wild Higgs Bundles Over ${\mathbb{CP}}^1$

Hsiao-Tzu Tsai, Chih-Chung Liu

We define and analyse certain $L^2$ norm on moduli space of Higgs bundles over ${\mathbb{CP}}^1$ with certain singularity. We prove that certain limit of our metrics here is the regu…