Small Seifert fibered surgery on hyperbolic pretzel knots

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 non-pretzel Montesinos knots of length three.

42 pages, 27 figures; Corrected typos, added reference, general incorporation of referee comments, including a significant addition to the proofs in Section 5. To appear in Algebraic and Geometric Topology

References in corpus (7)

• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
• Five Lectures on Khovanov Homology
• Immersed surfaces and Seifert fibered surgery on Montesinos knots
• Persistently laminar branched surfaces
• The maximal number of exceptional Dehn surgeries
• Exceptional surgeries on $(-2,p,p)$-pretzel knots
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Cited by in corpus (2)

• Exceptional surgeries on alternating knots
• Seifert fibred knot manifolds