A dynamical construction of liouville domains

Yang Huang*

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Abstrakt

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.

OriginalsprogEngelsk
TidsskriftProceedings of the American Mathematical Society
Vol/bind148
Udgave nummer12
Sider (fra-til)5323-5330
ISSN0002-9939
DOI
StatusUdgivet - dec. 2020

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