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In this paper, a generalized cusp is a properly convex manifold with strictlyconvex boundary that is diffeomorphic to $M \times [0, \infty)$ where $M$ is aclosed Euclidean manifold. These are classified in [2]. The marked moduli spaceis homeomorphic to a subspace of the space of conjugacy classes ofrepresentations of $\pi_1(M)$. It has one description as a generalization of atrace-variety, and another description involving weight data that is similar tothat used to describe semi-simple Lie groups. It is also a bundle over thespace of Euclidean similarity (conformally flat) structures on $M$, and thefiber is a closed cone in the space of cubic differentials. For 3-dimensionalorientable generalized cusps, the fiber is homeomorphic to a cone on a solidtorus.

The Moduli Space of Marked Generalized Cusps in Real Projective Manifolds