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Equivariant minimal surfaces in $\mathbb{CH}^2$ and their Higgs bundles

Equivariant minimal surfaces in $\mathbb{CH}^2$ and their Higgs bundles

This paper gives a construction for all minimal immersions f of the Poincaré disc into the complex hyperbolic plane CH 2 which are equivariant with respect to an irreducible representation ρ of a hyperbolic surface group into P U (2, 1).We exploit the fact that each such immersion is a …