Groups of virtual and welded links
Valeriy G. Bardakov (AOSSI), Paolo Bellingeri (LMNO)
TL;DR
This paper introduces new group invariants for virtual and welded links and explores their relationships with existing invariants like the Kauffman group.
Contribution
It defines novel group concepts for virtual and welded links and analyzes their connections with established invariants.
Findings
New group invariants for virtual and welded links
Relationships established with the Kauffman group
Enhanced understanding of link invariants
Abstract
We define new notions of groups of virtual and welded knots (or links) and we study their relations with other invariants, in particular the Kauffman group of a virtual knot.
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Taxonomy
TopicsGeometric and Algebraic Topology · Mathematical Dynamics and Fractals · Homotopy and Cohomology in Algebraic Topology