Hebrew University topology and geometry seminar

November 25, 2015
Ross building, Seminar Room 70A

Lara Simone Suárez

Hebrew University of Jerusalem

Exact Lagrangian cobordism and pseudo-isotopy

Abstract: Consider two Lagrangian submanifolds $L$, $L'$ in a symplectic manifold $(M, \omega)$. A Lagrangian cobordism $(W; L, L')$ is a smooth cobordism between $L$ and $L'$ admitting a Lagrangian embedding in $(([0,1]\times \mathbb{R}) \times M, (dx\wedge dy) \oplus \omega)$ that looks like $[0, \epsilon) \times \{1\} \times L$ and $(1- \epsilon, 1] \times \{1\} \times L'$ near the boundary.
In this talk we will show that under some topological constrains, an exact Lagrangian cobordism $(W; L, L')$ with $dim(W) > 5$ is diffeomorphic to $[0,1] \times L$.