A compactification of the moduli space of principal Higgs bundles over singular curves

Alessio Lo Giudice, Andrea Pustetto

A principal Higgs bundle $(P,\varphi )$ over a singular curve $X$ is a pair consisting of a principal bundle $P$ and a morphism $\varphi :X\to \text{Ad}P\otimes {\Omega }_X^1$. We construct the moduli s…