Title of article :
Inequivalent surface-knots with the same knot quandle
Author/Authors :
Tanaka، نويسنده , , Kokoro، نويسنده ,
Issue Information :
دوماهنامه با شماره پیاپی سال 2007
Abstract :
We have a knot quandle and a fundamental class as invariants for a surface-knot. These invariants can be defined for a classical knot in a similar way, and it is known that the pair of them is a complete invariant for classical knots. In surface-knot theory the situation is different: There exist arbitrarily many inequivalent surface-knots of genus g with the same knot quandle, and there exist two inequivalent surface-knots of genus g with the same knot quandle and with the same fundamental class.
Keywords :
Knot quandle , Surface-knot , Quandle , Fundamental class
Journal title :
Topology and its Applications
Journal title :
Topology and its Applications