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VOL. 43 | 2006 Finite Dehn surgery along A'Campo's divide knots
Yuichi Yamada

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Hiroo Tokunaga, Ichiro Shimada, Takasi Sano

Abstract

We give two geometric methods of constructing plane curves giving cable knots of torus knots via A'Campo's divide knot theory, related to both singularity theory and knot theory. We point out a relationship between "area" of the plane curves and the coefficients of finite Dehn surgery, which is Dehn surgery yielding three-dimensional manifolds with finite fundamental group.

Information

Published: 1 January 2006
First available in Project Euclid: 3 January 2019

zbMATH: 1130.57011
MathSciNet: MR2325154

Digital Object Identifier: 10.2969/aspm/04310573

Subjects:
Primary: 14H20 , 57M25
Secondary: 55A25

Keywords: curve singularity , Dehn surgery , Iterated torus knots

Rights: Copyright © 2006 Mathematical Society of Japan

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