| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4659299 | Topology and its Applications | 2013 | 9 Pages |
Abstract
A virtual link can be understood as a link in a trivial I-bundle over an orientable compact surface with genus. A twisted virtual link is a link in a trivial I-bundle over a not-necessarily orientable compact surface. A twisted virtual birack is an algebraic structure with axioms derived from the twisted virtual Reidemeister moves. We extend a method previously used with racks and biracks to the twisted case to define computable invariants of twisted virtual links using finite twisted virtual biracks with birack rank N⩾1. As an application, we classify twist structures on the virtual Hopf link.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
