PFH spectral invariants on the two-sphere and the large scale geometry of Hofer's metric

We resolve three longstanding questions related to the large scale geometry of the group of Hamiltonian diffeomorphisms of the two-sphere, equipped with Hofer's metric. Namely: (1) we resolve the Kapovich-Polterovich question by showing that this group is not quasi-isometric to the real line; (...

Ausführliche Beschreibung

Bibliographische Detailangaben

Hauptverfasser:	Cristofaro-Gardiner, Dan, Humilière, Vincent, Seyfaddini, Sobhan
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems Mathematics - Symplectic Geometry
Online-Zugang:	Volltext bestellen
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!