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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.09983 |
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| _version_ | 1866913501393453056 |
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| author | Freedman, Michael H. |
| author_facet | Freedman, Michael H. |
| contents | A closed 3-manifold $M$ may be described up to some indeterminacy by a Heegaard diagram $\mathcal{D}$. The question "Does $M$ smoothly embed in $\mathbb{R}^4$?'' is equivalent to a property of $\mathcal{D}$ which we call $\textit{doubly unlinked}$ (DU). This perspective leads to an enhancement of Hantzsche's embedding obstruction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_09983 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Enhanced Hantzsche Theorem Freedman, Michael H. Geometric Topology A closed 3-manifold $M$ may be described up to some indeterminacy by a Heegaard diagram $\mathcal{D}$. The question "Does $M$ smoothly embed in $\mathbb{R}^4$?'' is equivalent to a property of $\mathcal{D}$ which we call $\textit{doubly unlinked}$ (DU). This perspective leads to an enhancement of Hantzsche's embedding obstruction. |
| title | Enhanced Hantzsche Theorem |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2409.09983 |