Display Abstract

Title Smooth deformations of the Kuperberg plug

Name Ana Rechtman
Country France
Email rechtman@math.unistra.fr
Co-Author(s) Steven Hurder
Submit Time 2014-02-27 12:29:45
Session
Special Session 73: Entropy and statistical properties for smooth dynamics
Contents
In 1993 K. Kuperberg constructed examples of smooth flows without periodic orbits on any closed 3-manifold. These examples continue to be the only known examples with such properties and are constructed using plugs. A. Katok's theorem implies that such flow have topological entropy equal to zero. In an earlier work, S. Hurder and I studied the topology of the minimal set of these plugs. After reviewing K. Kuperberg's construction, I will present a $C^\infty$-small pertubartion of the construction whose flow has positive entropy.