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Surgered contact flows, hyperbolicity, and orbit growth

Boris Hasselblatt

Tufts University


https://youtu.be/f2XKU7qkrCg

Аннотация: This is a joint project with P. Foulon and A. Vaugon.
  • Foulon–Dingв–Geiges–Weinstein–Handel–Thurston surgery is a contact surgery on the unit tangent bundle of a surface.
  • This forces orbit complexity.
  • It produces several contact 3-flows.
  • From the fiber flow a flow with quadratic or exponential complexity.
  • From the geodesic flow a contact structure whose every Reeb flow has positive entropy.
  • If the surgered geodesic flow is hyperbolic, then it has increased orbit growth.
  • There are 3-manifolds with two contact flows, one exponentially complex, one polynomially.


Язык доклада: английский


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