Weinstein neighbourhood theorems for stratified subspaces
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909993771466752 |
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| author | Karshon, Yael Tukachinsky, Sara B. Zimhony, Yoav |
| author_facet | Karshon, Yael Tukachinsky, Sara B. Zimhony, Yoav |
| contents | By analogy with Weinstein's neighbourhood theorem, we prove a uniqueness result for symplectic neighbourhoods of a large family of stratified subspaces. This result generalizes existing constructions, e.g., in the search for exotic Lagrangians. Along the way, we prove a strong version of Moser's trick and a (non-symplectic) tubular neighbourhood theorem for these stratified subspaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_04897 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Weinstein neighbourhood theorems for stratified subspaces Karshon, Yael Tukachinsky, Sara B. Zimhony, Yoav Symplectic Geometry Differential Geometry 53D05, 58A35 (Primary), 53D12, 58A40 (Secondary) By analogy with Weinstein's neighbourhood theorem, we prove a uniqueness result for symplectic neighbourhoods of a large family of stratified subspaces. This result generalizes existing constructions, e.g., in the search for exotic Lagrangians. Along the way, we prove a strong version of Moser's trick and a (non-symplectic) tubular neighbourhood theorem for these stratified subspaces. |
| title | Weinstein neighbourhood theorems for stratified subspaces |
| topic | Symplectic Geometry Differential Geometry 53D05, 58A35 (Primary), 53D12, 58A40 (Secondary) |
| url | https://arxiv.org/abs/2507.04897 |