Invariants of Knots, Embeddings and Immersions via Contact Geometry

Details Invariants of Knots, Embeddings and Immersions via Contact Geometry Invariants of Knots, Embeddings and Immersions via Contact Geometry

2004-12-28

arxiv.org/abs/math/0412517v1

Mathematics

Geometric Topology

20 pages; 14 figures

Scientific paper

This paper is an overview of the idea of using contact geometry to construct invariants of immersions and embeddings. In particular, it discusses how to associate a contact manifold to any manifold and a Legendrian submanifold to an embedding or immersion. We then discuss recent work that creates invariants of immersions and embeddings using the Legendrian contact homology of the associated Legendrian submanifold.

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