{ "id": "1812.02374", "version": "v1", "published": "2018-12-06T07:06:13.000Z", "updated": "2018-12-06T07:06:13.000Z", "title": "On sign assignments in link Floer homology", "authors": [ "Eaman Eftekhary" ], "categories": [ "math.GT" ], "abstract": "In this short note, we compare the combinatorial sign assignment of Manolescu, Ozsvath, Szabo and Thurston for grid homology of knots and links in 3-sphere with the sign assignment coming from a coherent system of orientations on Whitney disks. Although these constructions produce different signs, a small modification of the convention in either of the two methods results in identical sign assignments, and thus identical chain complexes.", "revisions": [ { "version": "v1", "updated": "2018-12-06T07:06:13.000Z" } ], "analyses": { "subjects": [ "57M27", "57R58" ], "keywords": [ "link floer homology", "combinatorial sign assignment", "short note", "grid homology", "coherent system" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }