{"id":{"repo_id":"mit","oai_identifier":"oai:dspace.mit.edu:1721.1/8671"},"canonical_url":"https://search.dev.ndltd.org/etd/mit/oai:dspace.mit.edu:1721.1/8671","repository":{"repo_id":"mit","name":"MIT","base_url":"https://dspace.mit.edu/oai/request"},"display":{"title":"Invariants of Legendrian links","abstract":"We introduce new, readily computable invariants of Legendrian knots and links in standard contact three-space, allowing us to answer many previously open questions in contact knot theory. The origin of these invariants is the powerful Chekanov-Eliashberg differential graded algebra, which we reformulate and generalize. We give applications to Legendrian knots and links in three-space and in the solid torus. 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