Symplectic fillings of unit cotangent bundles of spheres and applications
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866915688866643968 |
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| author | Kwon, Myeonggi Oba, Takahiro |
| author_facet | Kwon, Myeonggi Oba, Takahiro |
| contents | We prove the uniqueness, up to diffeomorphism, of symplectically aspherical fillings of the unit cotangent bundle of odd-dimensional spheres. As applications, we first show the non-existence of exact symplectic cobordisms between some 5-dimensional Brieskorn manifolds. We also determine the diffeomorphism types of closed symplectic 6-manifolds with certain codimension 2 symplectic submanifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_10363 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symplectic fillings of unit cotangent bundles of spheres and applications Kwon, Myeonggi Oba, Takahiro Symplectic Geometry Geometric Topology We prove the uniqueness, up to diffeomorphism, of symplectically aspherical fillings of the unit cotangent bundle of odd-dimensional spheres. As applications, we first show the non-existence of exact symplectic cobordisms between some 5-dimensional Brieskorn manifolds. We also determine the diffeomorphism types of closed symplectic 6-manifolds with certain codimension 2 symplectic submanifolds. |
| title | Symplectic fillings of unit cotangent bundles of spheres and applications |
| topic | Symplectic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2402.10363 |