Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces
arXiv:2211.09225 · doi:10.1112/jlms.12831
Abstract
We develop new methods of both constructing and obstructing symplectic embeddings into non-toric rational surfaces using the theory of Newton-Okoukov bodies. Applications include sharp embedding results for concave toric domains into non-toric rational surfaces, and new cases of non-existence for infinite staircases in the non-toric setting.
33 pages, 6 figures. Minor edits to v1. To appear in Journal of the London Mathematical Society