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

Abstract

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 of one manifold about another using contact geometry.

35 pages, 10 figures, accepted for publication by the Journal of Topology

References in corpus (6)

• Géométrie de contact: de la dimension trois vers les dimensions supérieures
• Lectures on open book decompositions and contact structures
• Planar open book decompositions and contact structures
• Geometric criteria for overtwistedness
• Fibered Transverse Knots and the Bennequin Bound
• Braids and branched coverings of dimension three

Cited by in corpus (8)

• Maximal contact and symplectic structures
• Convex hypersurface theory in contact topology
• Embedding all contact 3-manifolds in a fixed contact 5-manifold
• The Legendrian Whitney trick
• On some examples and constructions of contact manifolds
• On open book embedding of contact manifolds in the standard contact sphere
• Lifting Branched Covers to Braided Embeddings
• On open books and embedding of smooth and contact manifolds