On orthogonal decompositions of hermitian Higgs bundles

Sergio A. H. Cardona, Kenett Martínez-Ruiz

A hermitian Higgs bundle is a triple $(\mathfrak{E},h)=(E,\Phi ,h)$, where $\mathfrak{E}=(E,\Phi )$ is a Higgs bundle and $(E,h)$ is a holomorphic hermitian vector bundle. It is well-…