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math.GT2012
Coexistence of coiled surfaces and spanning surfaces for knots and links
Makoto Ozawa
It is a well-known procedure for constructing a torus knot or link that first we prepare an unknotted torus and meridian disks in the complementary solid tori of it, and second smo…
math.GT2012★ 1 cited
Knotted handle decomposing spheres for handlebody-knots
Atsushi Ishii, Kengo Kishimoto, Makoto Ozawa
We show that a handlebody-knot whose exterior is boundary-irreducible has a unique maximal unnested set of knotted handle decomposing spheres up to isotopies and annulus-moves. As…