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2006 Cosmetic surgeries on genus one knots
Jiajun Wang
Algebr. Geom. Topol. 6(3): 1491-1517 (2006). DOI: 10.2140/agt.2006.6.1491

Abstract

In this paper, we prove that there are no truly cosmetic surgeries on genus one classical knots. If the two surgery slopes have the same sign, we give the only possibilities of reflectively cosmetic surgeries. The result is an application of Heegaard Floer theory and number theory.

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Jiajun Wang. "Cosmetic surgeries on genus one knots." Algebr. Geom. Topol. 6 (3) 1491 - 1517, 2006. https://doi.org/10.2140/agt.2006.6.1491

Information

Received: 26 February 2006; Revised: 26 July 2006; Accepted: 17 August 2006; Published: 2006
First available in Project Euclid: 20 December 2017

zbMATH: 1130.57020
MathSciNet: MR2253457
Digital Object Identifier: 10.2140/agt.2006.6.1491

Subjects:
Primary: 57M27, 57R58
Secondary: 53D40

Rights: Copyright © 2006 Mathematical Sciences Publishers

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Vol.6 • No. 3 • 2006
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