{ "id": "math/0601152", "version": "v3", "published": "2006-01-08T11:53:56.000Z", "updated": "2006-05-01T15:18:50.000Z", "title": "Khovanov homology for virtual links with arbitrary coefficients", "authors": [ "Vassily Olegovich Manturov" ], "comment": "20 pages", "categories": [ "math.GT" ], "abstract": "We construct explicitly the Khovanov homology theory for virtual links with arbitrary coefficients by using the twisted coefficients method. This method also works for constructing Khovanov homology for ``non-oriented virtual knots'' in the sense of Viro, in particular, for knots in ${\\bf R}P^{3}$.", "revisions": [ { "version": "v3", "updated": "2006-05-01T15:18:50.000Z" } ], "analyses": { "subjects": [ "57M25" ], "keywords": [ "virtual links", "arbitrary coefficients", "khovanov homology theory", "twisted coefficients method", "constructing khovanov homology" ], "note": { "typesetting": "TeX", "pages": 20, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......1152O" } } }