Goldman and colleagues consider moduli spaces of actions of discrete groups on hyperbolic space. Spaces of PSL(2,C)-representatives of fundamental groups of surfaces of negative Euler characteristic are natural objects upon which mapping class groups and related automorphism groups act, they say, and arise as deformation spaces of (possibly singular) locally homogeneous geometric structures on surfaces. They relate the interpretation in terms of geometric structures to the dynamics of automorphism groups. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)
Introduction
The rank two free group and its automorphisms
Character varieties and their automorphisms
Topology of the imaginary commutator trace
Generalized Fricke spaces
Bowditch theory
Imaginary trace labelings
Imaginary characters with $k>2$
Imaginary characters with $k<2$
Imaginary characters with $k=2$
Bibliography
William Goldman, University of Maryland, College Park, Maryland.
Greg McShane, Institut Fourier, Grenoble, France.
George Stantchev, University of Maryland, College Park, Maryland.
Ser Peow Tan, University of Singapore, Singapore.
