On cobordism groups of Lagrangian immersions
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_ | 1866929509866930176 |
|---|---|
| author | Rathel-Fournier, Dominique |
| author_facet | Rathel-Fournier, Dominique |
| contents | We compute the cobordism group $Ω^{\operatorname{lag}}(M)$ of Lagrangian immersions into a symplectic manifold $(M, ω)$ in terms of a stable homotopy group of a Thom spectrum constructed from $M$. This generalizes a result of Eliashberg in the case of exact symplectic manifolds. As applications, we compute $Ω^{\operatorname{lag}}(M)$ when $M$ is a closed surface and give a partial description of $Ω^{\operatorname{lag}}(M)$ when $M$ is a monotone manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_14651 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On cobordism groups of Lagrangian immersions Rathel-Fournier, Dominique Symplectic Geometry Algebraic Topology 53D12, 57R90 We compute the cobordism group $Ω^{\operatorname{lag}}(M)$ of Lagrangian immersions into a symplectic manifold $(M, ω)$ in terms of a stable homotopy group of a Thom spectrum constructed from $M$. This generalizes a result of Eliashberg in the case of exact symplectic manifolds. As applications, we compute $Ω^{\operatorname{lag}}(M)$ when $M$ is a closed surface and give a partial description of $Ω^{\operatorname{lag}}(M)$ when $M$ is a monotone manifold. |
| title | On cobordism groups of Lagrangian immersions |
| topic | Symplectic Geometry Algebraic Topology 53D12, 57R90 |
| url | https://arxiv.org/abs/2409.14651 |