On the structure of Besse convex contact spheres

Autor:	Mazzucchelli, Marco, Radeschi, Marco
Rok vydání:	2020
Předmět:	Mathematics - Symplectic Geometry Mathematics - Algebraic Topology Mathematics - Differential Geometry 53D10 58E05
Zdroj:	Transactions of the American Mathematical Society 376 (2023), no. 3, 2125-2153
Druh dokumentu:	Working Paper
DOI:	10.1090/tran/8836
Popis:	We consider convex contact spheres $Y$ all of whose Reeb orbits are closed. Any such $Y$ admits a stratification by the periods of closed Reeb orbits. We show that $Y$ "resembles" a contact ellipsoid: any stratum of $Y$ is an integral homology sphere, and the sequence of Ekeland-Hofer spectral invariants of $Y$ coincides with the full sequence of action values, each one repeated according to its multiplicity. Comment: 29 pages; final version: we added a reference to Ustilovsky's construction of exotic Besse contact spheres. To appear in Trans. Amer. Math. Soc
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2012.05389 Zobrazit plný text záznamu View this record from Arxiv