Embedding all contact 3-manifolds in a fixed contact 5-manifold. (arXiv:1712.09642v1 [math.GT])

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. 查看全文>>