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math.GT2008★ 3 cited
Complementary Regions of Knot and Link Diagrams
Colin Adams, Reiko Shinjo, Kokoro Tanaka
An increasing sequence of integers is said to be universal for knots and links if every knot and link has a projection to the sphere such that the number of edges of each complemen…
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…