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arXiv · 2511.03812

A note on codimension $2$ spun embedding

Sneha Banerjee·Shital Lawande·Subhadeep Rana·Kuldeep Saha
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Abstract

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.

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Sneha Banerjee, Shital Lawande, Subhadeep Rana, Kuldeep Saha. 2025-11-05. A note on codimension $2$ spun embedding. https://arxiv.org/abs/2511.03812

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