Virtual homological spectral radii for automorphisms of surfaces

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.

57 pages; accepted for publication by Journal of the American Mathematical Society

References in corpus (3)

• A homological estimate for the Thurston norm
• Every Infinite order mapping class has an infinite order action on the homology of some finite cover
• Homological eigenvalues of lifts of pseudo-Anosov mapping classes to finite covers

Cited by in corpus (1)

• Simple closed curves, finite covers of surfaces, and power subgroups of Out(F_n)