Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces
Symplectic Geometry
2024-02-21 v2 Algebraic Geometry
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.
Keywords
Cite
@article{arxiv.2211.09225,
title = {Newton-Okoukov bodies and symplectic embeddings into non-toric rational surfaces},
author = {Julian Chaidez and Ben Wormleighton},
journal= {arXiv preprint arXiv:2211.09225},
year = {2024}
}
Comments
33 pages, 6 figures. Minor edits to v1. To appear in Journal of the London Mathematical Society