The paper explores universal circles for Anosov foliations and their uniqueness.
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This paper characterizes Fuchsian groups acting on the circle with invariant laminations.
Study shows universal circles for taut foliations in 3-manifolds.
These are the extended notes of a talk I gave at the Geometric Topology Seminar of the Max Planck Institute for Mathematics in Bonn on January 30th, 2012. My goal was to familiarize the topologists with the basics of arithmetic hyperbolic 3-manifolds and sketch some interesting results in the theory of 3-manifolds (suc…
New maps connect universal circles to ideal sphere for hyperbolic manifolds.
Study shows universal circle isomorphic to flow space ideal boundary.
We propose a program to study groups acting faithfully on S^1 in terms of number of pairwise transverse dense invariant laminations. We give some examples of groups which admit a small number of invariant laminations as an introduction to such groups. Main focus of the present paper is to characterize Fuchsian groups i…