Entropy and affine actions for surface groups
Fran\c{c}ois Labourie
TL;DR
This paper provides an independent proof of a theorem stating that surface groups with Hitchin linear parts cannot act properly on affine space, contributing to the understanding of affine actions of surface groups.
Contribution
The paper offers a new proof of a known theorem regarding the impossibility of proper affine actions for certain surface groups with Hitchin linear parts.
Findings
Surface groups with Hitchin linear parts cannot act properly on affine space
Provides an independent proof of Danciger and Zhang's theorem
Enhances understanding of affine actions of surface groups
Abstract
We give an independent proof of a theorem of Danciger of Zhang: surface groups with Hitchin linear part cannot act properly on the affine space
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Taxonomy
TopicsGeometric and Algebraic Topology · Geometric Analysis and Curvature Flows · Mathematical Dynamics and Fractals