Representation Variety of Fuchsian Groups in SO(p,q)

We estimate the dimension of the variety of homomorphisms from $\mathrm{\Gamma }$ to $SO(p,q)$ with Zariski dense image, where $\mathrm{\Gamma }$ is a Fuchsian group, and $SO(p,q)$ is the indefinite special orthogonal group with signature $(p,q)$.