A note on codimension $2$ spun embedding
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
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| _version_ | 1866909889208516608 |
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| author | Banerjee, Sneha Lawande, Shital Rana, Subhadeep Saha, Kuldeep |
| author_facet | Banerjee, Sneha Lawande, Shital Rana, Subhadeep Saha, Kuldeep |
| contents | We prove that if a closed manifold $B$ is a connected component of the binding of an open book decomposition of a manifold $M$, then every open book decomposition of $B$ spun embeds in $M$. As an application, we prove that every open book decomposition of a simply connected spin $5$-manifold spun embeds in $S^7$ and every $3$-dimensional open book spun embeds in $S^5$. We also define a notion of spun embedding for Morse open books. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03812 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on codimension $2$ spun embedding Banerjee, Sneha Lawande, Shital Rana, Subhadeep Saha, Kuldeep Geometric Topology We prove that if a closed manifold $B$ is a connected component of the binding of an open book decomposition of a manifold $M$, then every open book decomposition of $B$ spun embeds in $M$. As an application, we prove that every open book decomposition of a simply connected spin $5$-manifold spun embeds in $S^7$ and every $3$-dimensional open book spun embeds in $S^5$. We also define a notion of spun embedding for Morse open books. |
| title | A note on codimension $2$ spun embedding |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2511.03812 |