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- Title
Groups of virtual and welded links.
- Authors
Bardakov, Valeriy G.; Bellingeri, Paolo
- Abstract
We define a new notion of group of virtual and welded links. We use two approaches for defining it: via representations of (generalized) braids by automorphisms of free groups and via Wirtinger-like labeling on virtual and welded diagrams. In the case of virtual links our invariant is stronger than the notion of fundamental group of a virtual link introduced by Kauffman. In the case of welded links our invariant coincides with Kauffman invariant, but using a generalization of Wada representations we provide new families of invariants of welded links.
- Subjects
GROUP theory; AUTOMORPHISMS; ISOMORPHISM (Mathematics); BRAID theory; KNOT theory; KNOT links; INVARIANT imbedding
- Publication
Journal of Knot Theory & Its Ramifications, 2014, Vol 23, Issue 3, p1
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S021821651450014X