McCoy's alternating-surgery conjecture

Let KK be a knot in S3S^3. An alternating surgery on KK is a non-trivial Dehn surgery whose result is the double branched cover of a non-split alternating link. McCoy's alternating-surgery conjecture. If KK has an alternating surgery, then KK corresponds to the dealternation crossing in an almost alternating diagram of the unknot. This conjecture is presented as a proposal by McCoy; the source supplies no resolution evidence, so its status remains open.

Sources & referencesView supporting material

Primary source

Kenneth L. Baker and John Luecke, “Asymmetric L-space knots”, arXiv:1710.01655 (2017).

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