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- W2963084148 abstract "A virtual string can be defined as an equivalence class of planar diagrams under certain kinds of diagrammatic moves. Virtual strings are related to virtual knots in that a simple operation on a virtual knot diagram produces a diagram for a virtual string. In this paper we consider three operations on a virtual string or virtual strings which produce another virtual string, namely covering, composition and cabling. In particular we study virtual strings unchanged by the covering operation. We also show how the based matrix of a composite virtual string is related to the based matrices of its components, correcting a result by Turaev. Finally we investigate what happens under cabling to some invariants defined by Turaev." @default.
- W2963084148 created "2019-07-30" @default.
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- W2963084148 date "2011-08-01" @default.
- W2963084148 modified "2023-09-23" @default.
- W2963084148 title "COVERINGS, COMPOSITES AND CABLES OF VIRTUAL STRINGS" @default.
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- W2963084148 doi "https://doi.org/10.1142/s0218216511009182" @default.
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