Lens surgeries on A’Campo’s divide knots
نویسنده
چکیده
It is proved that every knot in the major subfamilies of J. Berge’s lens surgery (i.e., knots yielding a lens space by Dehn surgery) is presented by an L-shaped (real) plane curve as a divide knot defined by N. A’Campo in the context of the singularity of the complex curves. The corresponding plane curves are constructed. Such presentations support us to study each knot of lens surgery itself, and the relationship among the knots in the set of lens surgeries.
منابع مشابه
Lens space surgeries on A’Campo’s divide knots
It is proved that every knot in the major subfamilies of J. Berge’s lens space surgery (i.e., knots yielding a lens space by Dehn surgery) is presented by an L-shaped (real) plane curve as a divide knot defined by N. A’Campo in the context of singularity theory of complex curves. For each knot given by Berge’s parameters, the corresponding plane curve is constructed. The surgery coefficients ar...
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تاریخ انتشار 2008