End Khovanov homology and exotic Lagrangian planes
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908572018802688 |
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| author | Teng, Yikai |
| author_facet | Teng, Yikai |
| contents | In this paper, we define the end Khovanov homology, which is an invariant of properly embedded surfaces in 4-space up to ambient diffeomorphism. Moreover, we apply this invariant to detect the first known examples of exotic Lagrangian and symplectic planes in 4-space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_01151 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | End Khovanov homology and exotic Lagrangian planes Teng, Yikai Geometric Topology Symplectic Geometry 57K45, 53D12, 57K18 In this paper, we define the end Khovanov homology, which is an invariant of properly embedded surfaces in 4-space up to ambient diffeomorphism. Moreover, we apply this invariant to detect the first known examples of exotic Lagrangian and symplectic planes in 4-space. |
| title | End Khovanov homology and exotic Lagrangian planes |
| topic | Geometric Topology Symplectic Geometry 57K45, 53D12, 57K18 |
| url | https://arxiv.org/abs/2510.01151 |