Reeb dynamics in dimension 3 and broken book decompositions
Reeb dynamics in dimension 3 and broken book decompositions
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Vincent Colin, Université de Nante
Zoom link: : https://umontreal.zoom.us/j/94366166514?pwd=OHBWcGluUmJwMFJyd2IwS1ROZ0FJdz09
Backup/Alternate: https://theias.zoom.us/j/98165917888?pwd=bitwUVFVdjdVb1F3OTZTQTNqWHJjUT09
In a joint work with Pierre Dehornoy and Ana Rechtman, we prove that on a closed 3-manifold, every nondegenerate Reeb vector field is supported by a broken book decomposition. From this property, we deduce that in dimension 3 every nondegenerate Reeb vector field has either 2 or infinitely periodic orbits and that on a closed 3-manifold that is not graphed, every nondegenerate Reeb vector field has positive topological entropy.