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A NOTE ON OPEN BOOK EMBEDDINGS OF $3$-MANIFOLDS IN $\boldsymbol {S}^5$
Published online by Cambridge University Press: 04 October 2021
Abstract
In this note, we show that given a closed connected oriented $3$ -manifold M, there exists a knot K in M such that the manifold $M'$ obtained from M by performing an integer surgery admits an open book decomposition which embeds into the trivial open book of the $5$ -sphere $S^5.$
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- © 2021 Australian Mathematical Publishing Association Inc.