A four-dimensional mapping class group relation
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2021
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| _version_ | 1866909649316347904 |
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| author | Oba, Takahiro |
| author_facet | Oba, Takahiro |
| contents | In the symplectic mapping class group of a $4$-dimensional Weinstein domain, we give a relation between two products of (right-handed) Dehn twists via holomorphic curve techniques. A key ingredient of the construction is a solution to the symplectic isotopy problem on symplectic submanifolds in del Pezzo surfaces. In the appendix, we provide an alternative proof of a relation between a fibered Dehn twist and a product of Dehn twists. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2106_10914 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A four-dimensional mapping class group relation Oba, Takahiro Geometric Topology Symplectic Geometry In the symplectic mapping class group of a $4$-dimensional Weinstein domain, we give a relation between two products of (right-handed) Dehn twists via holomorphic curve techniques. A key ingredient of the construction is a solution to the symplectic isotopy problem on symplectic submanifolds in del Pezzo surfaces. In the appendix, we provide an alternative proof of a relation between a fibered Dehn twist and a product of Dehn twists. |
| title | A four-dimensional mapping class group relation |
| topic | Geometric Topology Symplectic Geometry |
| url | https://arxiv.org/abs/2106.10914 |