On usual, virtual and welded knotted objects up to homotopy
| Affiliation auteurs | Affiliation ok |
| Titre | On usual, virtual and welded knotted objects up to homotopy |
| Type de publication | Journal Article |
| Year of Publication | 2017 |
| Auteurs | Audoux B, Bellingeri P, Meilhan J-B, Wagner E |
| Journal | JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN |
| Volume | 69 |
| Pagination | 1079-1097 |
| Date Published | JUL |
| Type of Article | Article |
| ISSN | 0025-5645 |
| Mots-clés | braids, Gauss diagrams, link homotopy, self-virtualization, string links, virtual and welded knot theory |
| Résumé | We consider several classes of knotted objects, namely usual, virtual and welded pure braids and string links, and two equivalence relations on those objects, induced by either self-crossing changes or self-virtualizations. We provide a number of results which point out the differences between these various notions. The proofs are mainly based on the techniques of Gauss diagram formulae. |
| DOI | 10.2969/jmsj/06931079 |