{ "id": "1704.06501", "version": "v1", "published": "2017-04-21T12:13:22.000Z", "updated": "2017-04-21T12:13:22.000Z", "title": "The classification of linked $3$-manifolds in $6$-space", "authors": [ "Sergey Avvakumov" ], "categories": [ "math.GT" ], "abstract": "Let $M_1$ and $M_2$ be closed connected orientable $3$-manifolds. We classify the sets of smooth and piecewise linear isotopy classes of embeddings $M_1\\sqcup M_2\\rightarrow S^6$.", "revisions": [ { "version": "v1", "updated": "2017-04-21T12:13:22.000Z" } ], "analyses": { "keywords": [ "classification", "piecewise linear isotopy classes", "embeddings" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }