ln this paper, a generalized cusp is a properly convex manifold with strictly convex boundary that is diffeomorphic to
M
×
[
0
,
∞
)
M\times [0,\infty )
where
M
M
is a closed Euclidean manifold. These are classified by Ballas, Cooper, and Leitner [J. Topol. 13 (2020), pp. 1455-1496]. The marked moduli space is homeomorphic to a subspace of the space of conjugacy classes of representations of
π
1
M
\pi _1M
. It has one description as a generalization of a trace-variety, and another description involving weight data that is similar to that used to describe semi-simple Lie groups. It is also a bundle over the space of Euclidean similarity (conformally flat) structures on
M
M
, and the fiber is a closed cone in the space of cubic differentials. For
3
3
-dimensional orientable generalized cusps, the fiber is homeomorphic to a cone on a solid torus.