Spineless 5-manifolds and the deformation conjecture
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917112688148480 |
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| author | Freedman, Michael Krushkal, Vyacheslav Lidman, Tye |
| author_facet | Freedman, Michael Krushkal, Vyacheslav Lidman, Tye |
| contents | We construct a compact PL 5-manifold $M$ (with boundary) which is homotopy equivalent to the wedge of eleven 2-spheres, $\vee^{}_{1 1}S^2$, which is "spineless", meaning $M$ is not the regular neighborhood of any 2-complex PL embedded in $M$. We formulate a related question about the existence of exotic smooth structures on 4-manifolds which is of interest in relation to the deformation conjecture for 2-complexes, also known as the generalized Andrews-Curtis conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_03498 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Spineless 5-manifolds and the deformation conjecture Freedman, Michael Krushkal, Vyacheslav Lidman, Tye Geometric Topology We construct a compact PL 5-manifold $M$ (with boundary) which is homotopy equivalent to the wedge of eleven 2-spheres, $\vee^{}_{1 1}S^2$, which is "spineless", meaning $M$ is not the regular neighborhood of any 2-complex PL embedded in $M$. We formulate a related question about the existence of exotic smooth structures on 4-manifolds which is of interest in relation to the deformation conjecture for 2-complexes, also known as the generalized Andrews-Curtis conjecture. |
| title | Spineless 5-manifolds and the deformation conjecture |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2401.03498 |