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Virtual homological spectral radii for automorphisms of surfaces


Author: Yi Liu
Journal: J. Amer. Math. Soc. 33 (2020), 1167-1227
MSC (2010): Primary 57M50; Secondary 57M10
DOI: https://doi.org/10.1090/jams/949
Published electronically: August 19, 2020
MathSciNet review: 4155222
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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.


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Additional Information

Yi Liu
Affiliation: Beijing International Center for Mathematical Research, Peking University, Beijing 100871, People’s Republic of China
MR Author ID: 945775
Email: liuyi@math.pku.edu.cn

DOI: https://doi.org/10.1090/jams/949
Keywords: Virtual property, homological spectral radius, pseudo-Anosov
Received by editor(s): March 12, 2018
Received by editor(s) in revised form: July 2, 2019, and November 25, 2019
Published electronically: August 19, 2020
Article copyright: © Copyright 2020 American Mathematical Society