Lagrangian Whitney sphere links

Princeton/IAS Symplectic Geometry Seminar
Topic:Lagrangian Whitney sphere links
Speaker:Ivan Smith
Affiliation:University of Cambridge
Date:Tuesday, November 1
Time/Room:1:30pm - 2:30pm/West Building Lecture Hall
Video Link:https://video.ias.edu/puias/2016/1101-IvanSmith

Let $n > 1$. Given two maps of an $n$-dimensional sphere into Euclidean $2n$-space with disjoint images, there is a $\mathbb Z/2$ valued linking number given by the homotopy class of the corresponding Gauss map. We prove, under some restrictions on $n$, that this vanishes when the components are immersed Lagrangian spheres each with exactly one double point of high Maslov index. This is joint work with Tobias Ekholm.