On slope genera of knotted tori in the 4-space

Details On slope genera of knotted tori in the 4-space On slope genera of knotted tori in the 4-space

2011-10-10

arxiv.org/abs/1110.1921v3

Mathematics

Geometric Topology

21 pages

Scientific paper

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.

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