On singular Lagrangian fibrations and applications to symplectic embeddings I
Symplectic Geometry
2025-06-03 v1
Abstract
In this paper, we construct singular Lagrangian fibrations on some examples of disk cotangent bundles in dimensions 4 and 6. As an application, we show how this construction can be used to obtain toric domains in some cases. In particular, we recover results from Ferreira, Ramos, and Vicente on the Gromov width of the disk cotangent bundle of spheres of revolution, as well as results from Ramos on the Lagrangian bidisk. We also briefly discuss how this technique can be used to study symplectic embedding problems.
Keywords
Cite
@article{arxiv.2506.01556,
title = {On singular Lagrangian fibrations and applications to symplectic embeddings I},
author = {Santiago Achig-Andrango and Renato Vianna and Alejandro Vicente},
journal= {arXiv preprint arXiv:2506.01556},
year = {2025}
}
Comments
23 pages, 8 figures. Comments are appreciated