Root conjecture for 2-twist spins of torus knots

Let T(2,p)T(2,p) denote the (2,p)(2,p)-torus knot, and let KpK_p be its 2-twist spin. A knot is a root of the ribbon concordance graph if no distinct knot ribbon-concords to it from below. Root conjecture. For pp prime, the 2-twist spin KpK_p of T(2,p)T(2,p) is a root of the ribbon concordance graph. The preceding discussion gives supporting evidence through the structure of its knot group, but the source does not state that the claim has been proved.

Sources & referencesView supporting material

Primary source

Jason Joseph, “0-concordance of knotted surfaces and Alexander ideals”, arXiv:1911.13112 (2019).

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