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24 April 2024

» arxiv » 1110.1921

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On slope genera of knotted tori in the 4-space
Yi Liu ; Yi Ni ; Hongbin Sun ; Shicheng Wang ;
Date:	10 Oct 2011
Abstract:	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.
Source:	arXiv, 1110.1921
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