论文信息 - A Note on a Map from Knots to $2$-Knots

A Note on a Map from Knots to $2$-Knots

We construct a map from knots to (abstract) 2-knots which can be extended to higher dimensions; this map is the natural "knot" counterpart for "braid" theory of groups $G_{n}^{k}$.

V. Manturov

[1] S. Kamada,et al. ABSTRACT LINK DIAGRAMS AND VIRTUAL KNOTS , 2000 .

[2] Dennis Roseman. Elementary moves for higher dimensional knots , 2004 .

[3] Dennis Roseman,et al. Reidemeister-type moves for surfaces in four-dimensional space , 1998 .