{ "id": "1606.06404", "version": "v1", "published": "2016-06-21T03:04:49.000Z", "updated": "2016-06-21T03:04:49.000Z", "title": "Concordance group of virtual knots", "authors": [ "Hans U. Boden", "Matthias Nagel" ], "categories": [ "math.GT" ], "abstract": "We study concordance of virtual knots. Our main result is that a classical knot K is virtually slice if and only if it is classically slice. From this we deduce that the concordance group of classical knots embeds into the concordance group of long virtual knots.", "revisions": [ { "version": "v1", "updated": "2016-06-21T03:04:49.000Z" } ], "analyses": { "subjects": [ "57M25", "57M27" ], "keywords": [ "concordance group", "long virtual knots", "main result", "study concordance", "classical knots embeds" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }