Knotted bi-disk embeddings

Abstract: A classical result by McDuff shows that the space of symplectic ball embeddings into many simple symplectic four-manifolds is connected. In this talk, on the other hand, we show that the space of symplectic bi-disk embeddings often has infinitely many connected components, even for simple target spaces like the complex projective plane, or the symplectic ball. This extends earlier results by Gutt-Usher and Dimitroglou-Rizell. The proof uses almost toric fibrations and exotic Lagrangian tori. Furthermore, we will discuss natural quantitative questions arising in this context. This talk is based on joint work in progress with Grigory Mikhalkin and Felix Schlenk.

algebraic geometrydifferential geometrysymplectic geometry

Audience: researchers in the topic

Geometria em Lisboa (IST)

Series comments: To receive the series announcements, which include the
Zoom access password*, please register in
math.tecnico.ulisboa.pt/seminars/geolis/index.php?action=subscribe#subscribe
*the last announcement for a seminar is sent 5 hours before the seminar.

Geometria em Lisboa video channel: educast.fccn.pt/vod/channels/bu46oyq74