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2009 Lens space surgeries as A'Campo's divide knots
Yuichi Yamada
Algebr. Geom. Topol. 9(1): 397-428 (2009). DOI: 10.2140/agt.2009.9.397

Abstract

It is proved that every knot in the major subfamilies of J Berge’s lens space surgery (ie, knots yielding a lens space by Dehn surgery) is presented by an L–shaped (real) plane curve as a divide knot defined by 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 are also considered. Such presentations support us to study each knot of lens space surgery itself and the relationship among the knots in the set of lens space surgeries.

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Yuichi Yamada. "Lens space surgeries as A'Campo's divide knots." Algebr. Geom. Topol. 9 (1) 397 - 428, 2009. https://doi.org/10.2140/agt.2009.9.397

Information

Received: 29 October 2007; Revised: 10 February 2009; Accepted: 11 February 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1179.57015
MathSciNet: MR2482084
Digital Object Identifier: 10.2140/agt.2009.9.397

Subjects:
Primary: 14H50, 57M25
Secondary: 57M27

Rights: Copyright © 2009 Mathematical Sciences Publishers

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Vol.9 • No. 1 • 2009
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