Root conjecture for 2-twist spins of torus knots
Root conjecture for 2-twist spins of torus knots
Let denote the -torus knot, and let 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 prime, the 2-twist spin of 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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