Tobias Ekholm: Duality between Legendrian and Lagrangian invariants
Tid: On 2017-11-01 kl 13.15 - 14.15
Plats: Room 306, House 6, Kräftriket, Department of Mathematics, Stockholm University
Medverkande: Tobias Ekholm (Uppsala)
Abstract:
We discuss Floer cohomological dualities for exact Lagrangian fillings of Legendrian submanifolds in the boundary of a Weinstein manifold (exact symplectic manifold with contact boundary). The dualities are counterparts of dualities between a manifold and its loop space in algebraic topology, the Floer cohomology of the Lagrangian filling plays the role of chains on the manifold and the Chekanov-Eliashberg dg-algebra of the Legendrian boundary plays the role of the chains on the based loop space.