Existence of contact structures in 3-manifolds

Series
Geometry Topology Student Seminar
Time
Wednesday, November 14, 2018 - 2:00pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Hyunki Min – Georgia Tech
Organizer
Hyun Ki Min
Unlike symplectic structures in 4-manioflds, contact structures are abundant in 3-dimension. Martinet showed that there exists a contact structure on any closed oriented 3-manifold. After that Lutz showed that there exist a contact structure in each homotopy class of plane fields. In this talk, we will review the theorems of Lutz and Martinet.