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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.20677 |
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| _version_ | 1866929716615708672 |
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| author | Sugimoto, Yoshihiro |
| author_facet | Sugimoto, Yoshihiro |
| contents | In this paper, we study homological monodromy of a Lagrangian submanifold. We prove that homological Lagrangian monodromy is trivial if Hofer energy of a Hamiltonian isotopy is smaller than the minimum energy of J-holomorphic spheres and discs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_20677 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Homological Lagrangian monodromy and Wang exact sequence Sugimoto, Yoshihiro Symplectic Geometry Differential Geometry 53D05 In this paper, we study homological monodromy of a Lagrangian submanifold. We prove that homological Lagrangian monodromy is trivial if Hofer energy of a Hamiltonian isotopy is smaller than the minimum energy of J-holomorphic spheres and discs. |
| title | Homological Lagrangian monodromy and Wang exact sequence |
| topic | Symplectic Geometry Differential Geometry 53D05 |
| url | https://arxiv.org/abs/2410.20677 |