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math.GT2023
Any link has a diagram with only triangles and quadrilaterals
Reiko Shinjo, Kokoro Tanaka
A link diagram can be considered as a -valent graph embedded in the -sphere and divides the sphere into complementary regions. In this paper, we show that any link has a diag…
math.GT2023
-knots with the same knot group but different knot quandles
Kokoro Tanaka, Yuta Taniguchi
We give a first example of 2-knots with the same knot group but different knot quandles by analyzing the knot quandles of twist spins. As a byproduct of the analysis, we also give…