Dynamically exotic contact spheres in dimensions

  • Marcelo R.R. Alves

    Université libre de Bruxelles, Belgium
  • Matthias Meiwes

    RWTH Aachen, Germany
Dynamically exotic contact spheres in dimensions $\geq 7$ cover

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Abstract

We exhibit the first examples of contact structures on with and on , all equipped with their standard smooth structures, for which every Reeb flow has positive topological entropy. As a new technical tool for the study of the volume growth of Reeb flows we introduce the notion of algebraic growth of wrapped Floer homology. Its power stems from its stability under several geometric operations on Liouville domains.

Cite this article

Marcelo R.R. Alves, Matthias Meiwes, Dynamically exotic contact spheres in dimensions . Comment. Math. Helv. 94 (2019), no. 3, pp. 569–622

DOI 10.4171/CMH/468