Embedding all contact 3-manifolds in a fixed contact 5-manifold

John B. Etnyre; Yanki Lekili

doi:10.1112/jlms.12164

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arXiv · 1712.09642

Embedding all contact 3-manifolds in a fixed contact 5-manifold

John B. Etnyre·Yanki Lekili

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Abstract

In this note we observe that one can contact embed all contact 3-manifolds into a Stein fillable contact structure on the twisted $S^3$-bundle over $S^2$ and also into a unique overtwisted contact structure on $S^3\times S^2$. These results are proven using "spun embeddings" and Lefschetz fibrations.

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BibTeX RIS

John B. Etnyre, Yanki Lekili. 2018-06-20. Embedding all contact 3-manifolds in a fixed contact 5-manifold. https://doi.org/10.1112/jlms.12164

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