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| Auteurs principaux: | , |
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| Format: | Recurso digital |
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Zenodo
2025
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| Accès en ligne: | https://doi.org/10.5281/zenodo.17834835 |
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| _version_ | 1866901178547175424 |
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| author | Revista, Zen MATH, 10 |
| author_facet | Revista, Zen MATH, 10 |
| contents | This paper explores the intricate relationship between symplectic cobordisms and the Kähler cone of compact symplectic manifolds. We delve into the construction of symplectic cobordisms between manifolds, focusing on how these cobordisms can be used to understand the structure of the Kähler cone. Specifically, we investigate how the existence of a symplectic cobordism between two symplectic manifolds imposes constraints on their respective Kähler cones. The paper includes a detailed analysis of the conditions under which a class in cohomology can be represented by a symplectic form and its relation to the Kähler cone. We also consider examples of symplectic manifolds and their cobordisms to illustrate the theoretical results. The study combines techniques from symplectic geometry, topology, and complex geometry to offer a comprehensive view of the topic. |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17834835 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Symplectic Cobordisms and the Kähler Cone Revista, Zen MATH, 10 This paper explores the intricate relationship between symplectic cobordisms and the Kähler cone of compact symplectic manifolds. We delve into the construction of symplectic cobordisms between manifolds, focusing on how these cobordisms can be used to understand the structure of the Kähler cone. Specifically, we investigate how the existence of a symplectic cobordism between two symplectic manifolds imposes constraints on their respective Kähler cones. The paper includes a detailed analysis of the conditions under which a class in cohomology can be represented by a symplectic form and its relation to the Kähler cone. We also consider examples of symplectic manifolds and their cobordisms to illustrate the theoretical results. The study combines techniques from symplectic geometry, topology, and complex geometry to offer a comprehensive view of the topic. |
| title | Symplectic Cobordisms and the Kähler Cone |
| url | https://doi.org/10.5281/zenodo.17834835 |