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arxiv: 1806.05313 · v2 · pith:WRLDC4WNnew · submitted 2018-06-14 · 🧮 math.GT

Knot modules and ribbon 2-knots

classification 🧮 math.GT
keywords knotribbonknotsmodulescharacterizationdimensioneveryfibred
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We show that every $\mathbb{Z}$-torsion free knot module is realized by a ribbon 2-knot with group of geometric dimension at most 2, and give some partial results on the characterization of the knot modules of fibred ribbon 2-knots.

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