A dynamical construction of liouville domains

Yang Huang*

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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.

    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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