We estimate the dimension of the representation variety of Fuchsian groups in indefinite special orthogonal group that is of nonsplit type. In the case where the Fuchsian group is a surface group, we give an exact formula (rather that just estimate) for the dimension of the representation variety whose representation `space' is any real algebraic group.
Seminar Room, School of Mathematical Sciences
Venkata Krishna Kishore Gangavarapu
Representation varieties of Fuchsian groups