Harmonic metrics of generically regular nilpotent Higgs bundles over non-compact surfaces

Song Dai, Qiongling Li

A rank $n$ Higgs bundle $(E,\theta )$ is called generically regular nilpotent if ${\theta }^n=0$ but ${\theta }^{n-1}\ne 0$. We show that for a generically regular nilpotent Higgs bundle, if it admits…