Algebraic & Geometric Topology

Small Seifert fibered surgery on hyperbolic pretzel knots

Jeffrey Meier

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We complete the classification of hyperbolic pretzel knots admitting Seifert fibered surgeries. This is the final step in understanding all exceptional surgeries on hyperbolic pretzel knots. We also present results toward similar classifications for nonpretzel Montesinos knots of length three.

Article information

Algebr. Geom. Topol., Volume 14, Number 1 (2014), 439-487.

Received: 12 November 2012
Revised: 29 May 2013
Accepted: 29 June 2013
First available in Project Euclid: 19 December 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Secondary: 57M50: Geometric structures on low-dimensional manifolds

Dehn surgery Seifert fibered space Montesinos knots


Meier, Jeffrey. Small Seifert fibered surgery on hyperbolic pretzel knots. Algebr. Geom. Topol. 14 (2014), no. 1, 439--487. doi:10.2140/agt.2014.14.439.

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