{ "id": "math/0611841", "version": "v2", "published": "2006-11-27T23:04:46.000Z", "updated": "2008-01-04T15:30:38.000Z", "title": "Legendrian knots, transverse knots and combinatorial Floer homology", "authors": [ "Peter Ozsvath", "Zoltan Szabo", "Dylan Thurston" ], "comment": "27 pages, 13 figures; v2: Expand and correct discussion of links", "journal": "Geometry and Topology, 12(2):941-980, 2008", "doi": "10.2140/gt.2008.12.941", "categories": [ "math.GT", "math.SG" ], "abstract": "Using the combinatorial approach to knot Floer homology, we define an invariant for Legendrian knots in the three-sphere, which takes values in link Floer homology. This invariant can be used to also construct an invariant of transverse knots.", "revisions": [ { "version": "v2", "updated": "2008-01-04T15:30:38.000Z" } ], "analyses": { "subjects": [ "57R17", "57R58", "57M25" ], "keywords": [ "combinatorial floer homology", "transverse knots", "legendrian knots", "knot floer homology", "link floer homology" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 27, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math.....11841O" } } }