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On slope genera of knotted tori in 4-space

In this note, we investigate genera for the slopes of a knotted torus in the 4-sphere analogous to the genus of a classical knot. We compare various formulations of this notion, and use this notion to study the extendable subgroup of the mapping class group of the knotted torus.

preprint2013arXivOpen access
Yi LiuYi NiHongbin SunShicheng Wang
math.GRmath.GT
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Yi LiuYi NiHongbin SunShicheng Wang

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