Geometry and topology: Invariants of codimension 2 contact submanifolds

  • Date: –15:15
  • Location: Ångströmlaboratoriet, Lägerhyddsvägen 1 64119
  • Lecturer: Laurent Côté (Stanford University
  • Organiser: Matematiska institutionen
  • Contact person: Maksim Maydanskiy
  • Seminarium

Abstract: The general machinery of Symplectic Field Theory (SFT) gives invariants of contact manifolds and Legendrian submanifolds. I will discuss work in progress with Francois-Simon Fauteux-Chapleau to define SFT invariants of codimension 2 contact submanifolds, which are the natural generalization of transverse knots to all dimensions. I will sketch the construction and main properties of these invariants, and discuss applications (some of them speculative) to contact topology and dynamics.