A NOTE ON OPEN BOOK EMBEDDINGS OF -MANIFOLDS IN

Author:

PANDIT SUHASORCID,A SELVAKUMARORCID

Abstract

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 $S^5.$

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference11 articles.

1. A Lemma on Systems of Knotted Curves

2. On the existence of contact forms

3. [10] Pandit, S. and A, Selvakumar , ‘Embeddings of $4$ -manifolds in ${S}^4\ {\tilde{\times}}\ {S}^2$ ’, Preprint.

4. [9] Pancholi, D. , Pandit, S. and Saha, K. , ‘Embeddings of $3$ -manifolds via open books’, Preprint, 2018.

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