FILAMENTATIONS FOR VIRTUAL LINKS
| Autor: | William J. Schellhorn |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
57M27 (Primary) 57M25 (Secondary)
Algebra and Number Theory Geometric Topology (math.GT) Topology Chord diagram Mathematics::Geometric Topology Virtual knot Mathematics - Geometric Topology Filamentation FOS: Mathematics Mathematics - Combinatorics Combinatorics (math.CO) Invariant (mathematics) Mathematics |
| Zdroj: | Journal of Knot Theory and Its Ramifications. 15:327-338 |
| ISSN: | 1793-6527 0218-2165 |
| DOI: | 10.1142/s0218216506004464 |
| Popis: | In 2002, D. Hrencecin and L.H. Kauffman defined a filamentation invariant on oriented chord diagrams that may determine whether the corresponding flat virtual knot diagrams are non-trivial. A virtual knot diagram is non-classical if its related flat virtual knot diagram is non-trivial. Hence filamentations can be used to detect non-classical virtual knots. We extend these filamentation techniques to virtual links with more than one component. We also give examples of virtual links that they can detect as non-classical. Withdrawn due to publication |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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