Regulated $L^2$ Norm on Certain Wild Higgs Bundles Over $\mathbb{CP}^1$
Differential Geometry
2026-02-04 v1
Abstract
We define and analyse certain norm on moduli space of Higgs bundles over with certain singularity. We prove that certain limit of our metrics here is the regulated norm proposed on the central fiber, first appearing in Fredrickson-Neitzke's work.
Cite
@article{arxiv.2602.03106,
title = {Regulated $L^2$ Norm on Certain Wild Higgs Bundles Over $\mathbb{CP}^1$},
author = {Hsiao-Tzu Tsai and Chih-Chung Liu},
journal= {arXiv preprint arXiv:2602.03106},
year = {2026}
}