Floer homotopy theory and degenerate Lagrangian intersections
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911533010780160 |
|---|---|
| author | Blakey, Kenneth |
| author_facet | Blakey, Kenneth |
| contents | We give a lower bound on the number of intersection points of a Lagrangian pair via Steenrod squares on Lagrangian Floer cohomology induced from a Floer homotopy type. The main technical input is a computation of the associated graded of the action-filtration of the Floer homotopy type in terms of Morse homotopy theory (precisely, Conley index theory). We also prove a lower bound using the quantum cap product on Lagrangian Floer cohomology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_11478 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Floer homotopy theory and degenerate Lagrangian intersections Blakey, Kenneth Symplectic Geometry We give a lower bound on the number of intersection points of a Lagrangian pair via Steenrod squares on Lagrangian Floer cohomology induced from a Floer homotopy type. The main technical input is a computation of the associated graded of the action-filtration of the Floer homotopy type in terms of Morse homotopy theory (precisely, Conley index theory). We also prove a lower bound using the quantum cap product on Lagrangian Floer cohomology. |
| title | Floer homotopy theory and degenerate Lagrangian intersections |
| topic | Symplectic Geometry |
| url | https://arxiv.org/abs/2410.11478 |