  Let $k$ be a field of characteristic 0 and $\mathcal{A}$ a curved
$k$-algebra. We obtain a Chern-Weil-type formula for the Chern character of a
perfect $\mathcal{A}$-module taking values in $HN_0^{II}(\mathcal{A})$, the
negative cyclic homology of the second kind associated to $\mathcal{A}$, when
$\mathcal{A}$ satisfies a certain smoothness condition.
