Virtual homological spectral radii for automorphisms of surfaces
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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.References
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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
- 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
- © Copyright 2020 American Mathematical Society
- Journal: J. Amer. Math. Soc. 33 (2020), 1167-1227
- MSC (2010): Primary 57M50; Secondary 57M10
- DOI: https://doi.org/10.1090/jams/949
- MathSciNet review: 4155222