Satyajit Guin

Ramification and Finiteness of Equivariant Minimal Surfaces

Let $S$ be a closed oriented surface of genus $g$, with $g\ \geq \ 2$, and let $\mathcal X_0^{\mathrm{good}}$ be the good locus of $\operatorname{PU}(2,\,1)$ representations with Toledo invariant zero. For $1\ \leq \ b\ \leq\ 2g-3$, we show that representations admitting an equivariant minimal map of total ramification...