Small Seifert fibered surgery on hyperbolic pretzel knots
Jeffrey Meier

TL;DR
This paper classifies all hyperbolic pretzel knots that admit Seifert fibered surgeries, completing the understanding of exceptional surgeries on these knots, and provides preliminary results for related Montesinos knots.
Contribution
It finalizes the classification of hyperbolic pretzel knots with Seifert fibered surgeries and advances understanding of surgeries on non-pretzel Montesinos knots.
Findings
Complete classification of hyperbolic pretzel knots with Seifert fibered surgeries
Identification of exceptional surgeries on these knots
Initial results for non-pretzel Montesinos 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.
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Taxonomy
TopicsGeometric and Algebraic Topology · Connective tissue disorders research · Homotopy and Cohomology in Algebraic Topology
