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A dynamical construction of Liouville domains


Author: Yang Huang
Journal: Proc. Amer. Math. Soc. 148 (2020), 5323-5330
MSC (2010): Primary 53D35
DOI: https://doi.org/10.1090/proc/15187
Published electronically: September 4, 2020
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Abstract: We first present a general construction of Liouville domains as partial mapping tori. Then we study two examples where the (partial) monodromies exhibit certain hyperbolic behavior in the sense of dynamical systems. The first example is based on Smale's attractor, a.k.a., solenoid, and the second example is based on certain hyperbolic toral automorphisms.


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Additional Information

Yang Huang
Affiliation: Centre for Quantum Mathematics, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark
Email: hymath@gmail.com

DOI: https://doi.org/10.1090/proc/15187
Received by editor(s): November 1, 2019
Received by editor(s) in revised form: March 2, 2020, and May 9, 2020
Published electronically: September 4, 2020
Communicated by: Jiaping Wang
Article copyright: © Copyright 2020 American Mathematical Society