Regular Lagrangians in Lefschetz fibrations
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909858334244864 |
|---|---|
| author | Breen, Joseph Roy, Agniva Wang, Luya |
| author_facet | Breen, Joseph Roy, Agniva Wang, Luya |
| contents | We characterize regularity of Lagrangian submanifolds in Weinstein Lefschetz fibrations, establishing a conjecture of Giroux and Pardon. Our main result is the Weinstein analogue of a closed symplectic Lefschetz pencil result of Auroux, Muñoz, and Presas. As an application, given a Legendrian link in tight $S^3$ and an exact filling which is part of an arboreal skeleton for the $4$-ball, we build a Lefschetz fibration such that the image of the filling and all of its mutations are arcs in the base. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12170 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Regular Lagrangians in Lefschetz fibrations Breen, Joseph Roy, Agniva Wang, Luya Symplectic Geometry 53D05 We characterize regularity of Lagrangian submanifolds in Weinstein Lefschetz fibrations, establishing a conjecture of Giroux and Pardon. Our main result is the Weinstein analogue of a closed symplectic Lefschetz pencil result of Auroux, Muñoz, and Presas. As an application, given a Legendrian link in tight $S^3$ and an exact filling which is part of an arboreal skeleton for the $4$-ball, we build a Lefschetz fibration such that the image of the filling and all of its mutations are arcs in the base. |
| title | Regular Lagrangians in Lefschetz fibrations |
| topic | Symplectic Geometry 53D05 |
| url | https://arxiv.org/abs/2510.12170 |