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.