Symplectic capacities, unperturbed curves, and convex toric domains
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909207353098240 |
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| author | McDuff, Dusa Siegel, Kyler |
| author_facet | McDuff, Dusa Siegel, Kyler |
| contents | We use explicit pseudoholomorphic curve techniques (without virtual perturbations) to define a sequence of symplectic capacities analogous to those defined recently by the second named author using symplectic field theory. We then compute these capacities for all four-dimensional convex toric domains. This gives various new obstructions to stabilized symplectic embedding problems which are sometimes sharp. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2111_00515 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Symplectic capacities, unperturbed curves, and convex toric domains McDuff, Dusa Siegel, Kyler Symplectic Geometry 53Dxx We use explicit pseudoholomorphic curve techniques (without virtual perturbations) to define a sequence of symplectic capacities analogous to those defined recently by the second named author using symplectic field theory. We then compute these capacities for all four-dimensional convex toric domains. This gives various new obstructions to stabilized symplectic embedding problems which are sometimes sharp. |
| title | Symplectic capacities, unperturbed curves, and convex toric domains |
| topic | Symplectic Geometry 53Dxx |
| url | https://arxiv.org/abs/2111.00515 |