  Let $S$ be a closed surface of genus $g$ greater than zero. In the present
paper we study the topological-dynamical action of the mapping class group on
the $\Bbb T^n$-character variety giving necessary and sufficient conditions for
Mod$(S)$-orbits to be dense. As an application, such a characterisation
provides a dynamical proof of the Kronecker's Theorem concerning inhomogeneous
diophantine approximation.
