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

Hsiao-Tzu Tsai; Chih-Chung Liu

doi:10.48550/arxiv.2602.03106

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

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Hsiao-Tzu Tsai, Chih-Chung Liu

DOI: 10.48550/arxiv.2602.03106

Cited by: 0

Abstract

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 regulated $L^2$ norm proposed on the central fiber, first appearing in Fredrickson-Neitzke's work.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Geometry and complex manifolds Algebraic structures and combinatorial models

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 3 February 2026
Document type: Preprint