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Mathematics > Symplectic Geometry

arXiv:1910.14132v2 (math)
[Submitted on 30 Oct 2019 (v1) , last revised 19 May 2020 (this version, v2)]

Title: A dynamical construction of Liouville domains

Title: Liouville域的动力学构造

Authors:Yang Huang
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.
Abstract: 我们首先介绍了一种Liouville流形作为部分映射环面的一般构造。 然后我们研究了两个例子,其中(部分)单色表现出动力系统意义上的双曲行为。 第一个例子基于Smale的吸引子,也称为螺线管;第二个例子基于某些双曲环面自同态。
Comments: 7 pages, 1 figure; added more examples and remarks
Subjects: Symplectic Geometry (math.SG) ; Dynamical Systems (math.DS)
Cite as: arXiv:1910.14132 [math.SG]
  (or arXiv:1910.14132v2 [math.SG] for this version)
  https://doi.org/10.48550/arXiv.1910.14132
arXiv-issued DOI via DataCite

Submission history

From: Yang Huang [view email]
[v1] Wed, 30 Oct 2019 20:59:22 UTC (10 KB)
[v2] Tue, 19 May 2020 19:25:05 UTC (24 KB)
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