Workshop
The moduli space of convex real projective structures on surfaces
- Anna Wienhard (Max Planck Institute for Mathematics in the Sciences)
Abstract
The moduli space of hyperbolic structures on a given closed topological surface of genus g is well known - due to the uniformization theorem it is just the moduli space of Riemann surfaces. It is a 6g-6 dimensional orbifold. It has a smooth manifold cover which is homeomorphic to a vector space. The moduli space of convex real projective structures has many similiar properties. It can also be realized as the quotient of a vector space, now of dimension 16g-16. I will describe the moduli space of convex real projective structures, coordinates on it, as well as explicit ways, how one can move around in this moduli space.