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math.GT2005
Inequivalent surface-knots with the same knot quandle
Kokoro Tanaka
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 pai…
math.GT2005
Khovanov-Jacobsson numbers and invariants of surface-knots derived from Bar-Natan's theory
Kokoro Tanaka
Khovanov introduced a cohomology theory for oriented classical links whose graded Euler characteristic is the Jones polynomial. Since Khovanov's theory is functorial for link cobor…