Hitchin representations of Fuchsian groups
Richard Canary
TL;DR
This paper surveys the theory of Hitchin representations of Fuchsian groups and discusses a conjectural geometric model of an augmented Hitchin component.
Contribution
It provides a comprehensive overview of Hitchin representations and introduces a conjectural geometric framework for an augmented Hitchin component.
Findings
Survey of Hitchin representations of Fuchsian groups
Description of a conjectural geometric picture of an augmented Hitchin component
Foundation for future research in geometric structures
Abstract
We survey the theory of Hitchin representations of Fuchsian groups and describe a conjectural geometric picture of an augmented Hitchin component.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Mathematical Dynamics and Fractals