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
Pages
7
From page
2757
To page
2763
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
Serial Year
2007
Journal title
Topology and its Applications
Record number
1581454
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