Relative contact homology is a powerful invariant of Legendrian submanifolds in contact manifolds. Recently it has been used to define invariants of embeddings of manifolds in Euclidean space. I will discuss how these invariants are defined and indicate the difficulty in computing them. After that I will discuss an approach that should allow one to compute these invariants. In particular it seems likely this approach can be used to show Ng’s new invariants of knots (that is, 1-manifolds in R3) are precisely these contact homology invariants.