Symplectic embeddings and the lagrangian bidisk
Symplectic Geometry
2017-10-18 v2
Abstract
In this paper we obtain sharp obstructions to the symplectic embedding of the lagrangian bidisk into four-dimensional balls, ellipsoids and symplectic polydisks. We prove, in fact, that the interior of the lagrangian bidisk is symplectomorphic to a concave toric domain using ideas that come from billiards on a round disk. In particular, we answer a question of Ostrover. We also obtain sharp obstructions to some embeddings of ellipsoids into the lagrangian bidisk.
Keywords
Cite
@article{arxiv.1509.05755,
title = {Symplectic embeddings and the lagrangian bidisk},
author = {Vinicius Gripp Barros Ramos},
journal= {arXiv preprint arXiv:1509.05755},
year = {2017}
}
Comments
31 pages, 4 figures; minor changes to presentation, updated references. To appear in Duke Mathematical Journal