Lens space surgeries on A'Campo's divide knots - Mathematics > Geometric TopologyReport as inadecuate




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Abstract: It is proved that every knot in the major subfamilies of J. Berge-s lensspace surgery (i.e., knots yielding a lens space by Dehn surgery) is presentedby an L-shaped (real) plane curve as a -divide knot- defined by N. A-Campo inthe context of singularity theory of complex curves. For each knot given byBerge-s parameters, the corresponding plane curve is constructed. The surgerycoefficients are also considered. Such presentations support us to study eachknot itself, and the relationship among the knots in the set of lens spacesurgeries.



Author: Yuichi Yamada

Source: https://arxiv.org/







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