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math.GT2005
Non-triviality of generalized alternating knots
Makoto Ozawa
In this article, we consider alternating knots on a closed surface in the 3-sphere, and show that these are not parallel to any closed surface disjoint from the prescribed one.
math.GT2005
Morse position of knots and closed incompressible surfaces
Makoto Ozawa
In this paper, we study on knots and closed incompressible surfaces in the 3-sphere via Morse functions. We show that both of knots and closed incompressible surfaces can be isotop…