Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2506.01556 |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913870648442880 |
|---|---|
| author | Achig-Andrango, Santiago Vianna, Renato Vicente, Alejandro |
| author_facet | Achig-Andrango, Santiago Vianna, Renato Vicente, Alejandro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_01556 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On singular Lagrangian fibrations and applications to symplectic embeddings I Achig-Andrango, Santiago Vianna, Renato Vicente, Alejandro Symplectic Geometry 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. |
| title | On singular Lagrangian fibrations and applications to symplectic embeddings I |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2506.01556 |