Virtual homological spectral radii for automorphisms of surfaces

2017/10/13 by Yi Liu, Liu, Yi · 1 citation
Computer Science · Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.1710.05039

openalex publication_date 2017/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, it is shown that any surface automorphism of positive mapping-class entropy possesses a virtual homological eigenvalue which lies outside the unit circle of the complex plane.

Citations

• A homological estimate for the Thurston norm
• Bundles and finite foliations

Cited by

• Toward the profinite rigidity of hyperbolic 3-manifolds

Related

• Automorphisms of surfaces: Kummer rigidity and measure of maximal entropy
• Entropy of real rational surface automorphisms
• The Dynamical Degrees of Rational Surface Automorphisms
• Automorphismes d'entropie positive, le cas des surfaces rationnelles
• Salem Numbers and Automorphisms of Complex Surfaces