３次元球面内の閉曲面上の交代結び目を考え、
これらがその閉曲面と交わらない任意の閉曲面上へ平行でないことを示します。

Abstract

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.

プレプリント：http://arxiv.org/abs/math.GT/0504012