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A NOTE ON OPEN BOOK EMBEDDINGS OF
$3$
-MANIFOLDS IN
$\boldsymbol {S}^5$
- Part of
-
- Journal:
- Bulletin of the Australian Mathematical Society / Volume 105 / Issue 3 / June 2022
- Published online by Cambridge University Press:
- 04 October 2021, pp. 499-506
- Print publication:
- June 2022
-
- Article
- Export citation
-
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
$S^5.$
