Symplectic excision
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866914901193129984 |
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| author | Karshon, Yael Tang, Xiudi |
| author_facet | Karshon, Yael Tang, Xiudi |
| contents | We use time-independent incomplete Hamiltonian flows to excise interesting closed subsets of positive codimension from symplectic manifolds. Examples of such subsets include what we call a "Cantor brush", a "box with a tail", and -- more generally -- epigraphs of lower semicontinuous functions. This answers a question of Alan Weinstein about excision of a ray, and it generalizes a result of Bernd Stratmann about excision of the product of a ray with a manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2101_03534 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Symplectic excision Karshon, Yael Tang, Xiudi Symplectic Geometry Differential Geometry Dynamical Systems 53D05 (53D35, 37J39) We use time-independent incomplete Hamiltonian flows to excise interesting closed subsets of positive codimension from symplectic manifolds. Examples of such subsets include what we call a "Cantor brush", a "box with a tail", and -- more generally -- epigraphs of lower semicontinuous functions. This answers a question of Alan Weinstein about excision of a ray, and it generalizes a result of Bernd Stratmann about excision of the product of a ray with a manifold. |
| title | Symplectic excision |
| topic | Symplectic Geometry Differential Geometry Dynamical Systems 53D05 (53D35, 37J39) |
| url | https://arxiv.org/abs/2101.03534 |