2025/11/05 by Banerjee, Sneha, Lawande, Shital, Rana, Subhadeep +1
#FOS: Mathematics #Geometric Topology (math.GT)
paper · doi:10.48550/arxiv.2511.03812
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 S7 and every 3-dimensional open book spun embeds in S5. We also define a notion of spun embedding for Morse open books.