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Braided embeddings of contact 3‐manifolds in the standard contact 5‐sphere

Braided embeddings of contact 3‐manifolds in the standard contact 5‐sphere

In this paper we study embeddings of contact manifolds using braidings of one manifold about another. In particular, we show how to embed many contact 3-manifolds into the standard contact 5-sphere. We also show how to obstruct braidings and branched covers of one manifold over another using contact geometry.