A dynamical construction of liouville domains

Yang Huang

doi:10.1090/proc/15187

A dynamical construction of liouville domains

Yang Huang^*

^*Kontaktforfatter for dette arbejde

QM - Center for Quantum Mathematics

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

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.

Originalsprog	Engelsk
Tidsskrift	Proceedings of the American Mathematical Society
Vol/bind	148
Udgave nummer	12
Sider (fra-til)	5323-5330
ISSN	0002-9939
DOI	https://doi.org/10.1090/proc/15187
Status	Udgivet - dec. 2020

Dokumenter og links

10.1090/proc/15187

https://arxiv.org/pdf/1910.14132.pdf

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Citationsformater

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AB - 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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