2 problems

Let $U$ be a neighborhood of the zero-section in T^*\bm\hat{\mathcal{T}}^n, and let $[(\mu_k,t_k)]\in U$. A connection … is considered up to unitary gauge. Local existence and un…

Let $\Sigma$ be a closed surface of genus $g\geq 2$, and let $\hat{\mathcal{T}}^n_{\Sigma}$ denote geometric Hitchin space and $\mathcal{T}^n_{\Sigma}$ Hitchin's component. Canonic…