Lagrangian Whitney sphere links

Lagrangian Whitney sphere links

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Ivan Smith , Cambridge University
IAS Room S-101

Let n>1. Given two maps of an n-dimensional sphere into Euclidean 2n-space with disjoint images, there is a 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.