Harmonic maps and framed ${\mathrm{PSL}}_2(\mathbb{C})$-representations

Subhojoy Gupta, Gobinda Sau

We show that given an element $X$ of the enhanced Teichmüller space ${\mathcal{T}}^{\pm }(\mathbb{S},\mathbb{M})$ and a type-preserving framed ${\mathrm{PSL}}_2(\mathbb{C})$-representati…