On the Classification Problem for Ribbon Torus Knots
نویسنده
چکیده
An extension of the peripheral group and its associated structures such as the meridian and longitude to knots of arbitrary dimension and genus is studied. The analogous structures are shown to provide a complete algebraic invariant for oriented spun tori, by using the Tube map of Satoh. The algebraic invariant also provides a constraint on equivalence classes of welded knots in the preimage of a ribbon torus knot under Tube, although it is shown that Tube is not injective.
منابع مشابه
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