It is known that for a torus $\Sigma$, every automorphism of $H_1(\Sigma; \mathbb{Z})$ is induce by an orientation preserving self-homeomorphism of $\Sigma$ unique up to isotopy. In onther words, there is a bijection between the mapping class group of $\Sigma$ and $Aut(H_1(\Sigma; \mathbb{Z}))$.

**Question;** Is it still true for a general compact orientable 2-surface $\Sigma$? Or is this special to a torus?