Deformations of convex real projective manifolds and orbifolds

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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.

SEEK ID: https://publications.h-its.org/publications/987

Research Groups: Groups and Geometry

Publication type: InCollection

Book Title: Handbook of group actions. Vol. III

Publisher: Int. Press, Somerville, MA

Citation: In Handbook of group actions. Vol. III, vol. 40 of Adv. Lect. Math. (ALM), pp. 263–310, Int. Press, Somerville, MA

Date Published: 2018

URL: https://arxiv.org/abs/1605.02548

Registered Mode: imported from a bibtex file

Authors: Suhyoung Choi, Gye-Seon Lee, Ludovic Marquis

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