Flexible Surfaces in $\mathbb{C}P^2$ and $S^2\times S^2$
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915800282038272 |
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| author | Lehman, Joshua |
| author_facet | Lehman, Joshua |
| contents | A surface $Σ$ in a 4-manifold $M$ is called flexible if any mapping class of the surface arises as the restriction of a diffeomorphism $(M,Σ) \to (M,Σ)$. We construct flexible surfaces in $\mathbb{C}P^2$ and $S^2 \times S^2$ within any prescribed non-characteristic homology class. Within characteristic homology classes there is a spin structure obstructing flexibility and we construct so-called spin-flexible representatives. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14753 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Flexible Surfaces in $\mathbb{C}P^2$ and $S^2\times S^2$ Lehman, Joshua Geometric Topology A surface $Σ$ in a 4-manifold $M$ is called flexible if any mapping class of the surface arises as the restriction of a diffeomorphism $(M,Σ) \to (M,Σ)$. We construct flexible surfaces in $\mathbb{C}P^2$ and $S^2 \times S^2$ within any prescribed non-characteristic homology class. Within characteristic homology classes there is a spin structure obstructing flexibility and we construct so-called spin-flexible representatives. |
| title | Flexible Surfaces in $\mathbb{C}P^2$ and $S^2\times S^2$ |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2602.14753 |