Deformations of convex real projective manifolds and orbifolds

Abstract

In this survey, we study representations of finitely generated groups into Lie groups, focusing on the deformation spaces of convex real projective structures on closed manifolds and orbifolds, with an excursion on projective structures on surfaces. We survey the basics of the theory of character varieties, geometric structures on orbifolds, and Hilbert geometry. The main examples of finitely generated groups for us will be Fuchsian groups, 3-manifold groups and Coxeter groups.

References in corpus (2)

• Finite Volume Properly Convex Deformations of the Figure-eight Knot
• On the notions of suborbifold and orbifold embedding

Cited by in corpus (2)

• Affine deformations of quasi-divisible convex cones
• Character varieties of a transitioning Coxeter 4-orbifold