  By means of a systematic expansion around the infinite-dimensional solution,
we obtain an approximation scheme to compute properties of glasses in low
dimensions. The resulting equations take as input the thermodynamic and
structural properties of the equilibrium liquid, and from this they allow one
to compute properties of the glass. They are therefore similar in spirit to the
Mode-Coupling approximation scheme. Our scheme becomes exact, by construction,
in dimension $d\to\infty$ and it can be improved systematically by adding more
terms in the expansion.
