Asymptotic Geometry of the Moduli Space of Rank Two Irregular Higgs Bundles over the Projective Line

Gao Chen, Nianzi Li

Published 2022-06-23Version 1

We study the asymptotic behavior of Hitchin's hyperk\"ahler metric on the moduli space of rank two irregular Higgs bundles over $\mathbb{C}P^1$, with all tame singularities (if any) assumed to be strongly parabolic. When the moduli space is four-dimensional, we show that Hitchin's metric is asymptotic to an ALG/ALG$^\ast$ model metric.