Entropy and affine actions for surface groups

2019/08/01 by François Labourie, Labourie, François
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals

paper · doi:10.48550/arxiv.1908.00599

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

Related

• Fuchsian affine actions of surface groups
• Affine actions with Hitchin linear part
• Entropy rigidity for cusped Hitchin representations
• Entropy of real rational surface automorphisms: Actions on the Fundamental Groups
• Deformation of Fuchsian representations and proper affine actions