Symplectic mapping class relations from pencil pairs
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866912853624094720 |
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| author | Avdek, Russell |
| author_facet | Avdek, Russell |
| contents | We describe symplectic mapping class relations between products of positive Dehn twists along Lagrangian spheres in Weinstein $4$-manifolds, all of which are affine $\mathbb{C}$ varieties. The relations are obtained by applying classification results for Fano $3$-folds and polarized $K3$ surfaces of small genus to a general methodology -- finding pencil pairs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_08484 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symplectic mapping class relations from pencil pairs Avdek, Russell Symplectic Geometry Algebraic Geometry Geometric Topology We describe symplectic mapping class relations between products of positive Dehn twists along Lagrangian spheres in Weinstein $4$-manifolds, all of which are affine $\mathbb{C}$ varieties. The relations are obtained by applying classification results for Fano $3$-folds and polarized $K3$ surfaces of small genus to a general methodology -- finding pencil pairs. |
| title | Symplectic mapping class relations from pencil pairs |
| topic | Symplectic Geometry Algebraic Geometry Geometric Topology |
| url | https://arxiv.org/abs/2404.08484 |