Every real 3-manifold admits a real contact structure

27.02.2023 16:00 – 17:00

We survey our results regarding real contact 3-manifolds and present our result in the title.
A real 3-manifold is a smooth 3-manifold together with an orientation preserving smooth involution, called a real structure.
A real contact 3-manifold is a real 3-manifold with a contact distribution that is antisymmetric with respect to the real structure.
The standard examples of real contact 3-manifolds are link manifolds of isolated, real analytic surface singularities.
We show that every real contact 3-manifold can be obtained via contact surgery along invariant knots starting from the standard real contact 3-sphere.
As a corollary we show that any oriented overtwisted contact structure on an integer homology real 3-sphere can be isotoped to be real.

Lieu

Bâtiment: Conseil Général 7-9

Room 6-13, Séminaire "Fables géométriques"

entrée libre