On slope genera of knotted tori in 4-space
classification
🧮 math.GT
math.GR
keywords
knottedgeneranotiontorusanalogousclassclassicalcompare
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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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