|Princeton/IAS Symplectic Geometry Seminar|
|Topic:||Lagrangian Whitney sphere links|
|Affiliation:||University of Cambridge|
|Date:||Tuesday, November 1|
|Time/Room:||1:30pm - 2:30pm/West Building Lecture Hall|
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.