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Rigidity vs Super-rigidity of representations (of Kähler/surface groups)
In the literature there are several definitions of "rigidity" (or "super-rigidity") of representations, adapted to the circumastances. … (classic rigidity): Every $\phi$ close to $\rho$ (in the analytic topology of $\text{Hom}(\Gamma, G)$) is conjugated to $\rho$ by an element of $G$.
(super-rigidity, e.g. …