Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 14, Number 1 (2014), 439-487.
Small Seifert fibered surgery on hyperbolic pretzel knots
Full-text: Open access
Abstract
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
Source
Algebr. Geom. Topol., Volume 14, Number 1 (2014), 439-487.
Dates
Received: 12 November 2012
Revised: 29 May 2013
Accepted: 29 June 2013
First available in Project Euclid: 19 December 2017
Permanent link to this document
https://projecteuclid.org/euclid.agt/1513715808
Digital Object Identifier
doi:10.2140/agt.2014.14.439
Mathematical Reviews number (MathSciNet)
MR3158766
Zentralblatt MATH identifier
1290.57014
Subjects
Primary: 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Secondary: 57M50: Geometric structures on low-dimensional manifolds
Keywords
Dehn surgery Seifert fibered space Montesinos knots
Citation
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. https://projecteuclid.org/euclid.agt/1513715808
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