English

Virtual homological spectral radii for automorphisms of surfaces

Geometric Topology 2019-12-24 v3 Dynamical Systems

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.

Keywords

Cite

@article{arxiv.1710.05039,
  title  = {Virtual homological spectral radii for automorphisms of surfaces},
  author = {Yi Liu},
  journal= {arXiv preprint arXiv:1710.05039},
  year   = {2019}
}

Comments

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