On two-generator satellite knots
classification
🧮 math.GT
keywords
two-generatorknotssatellitealgebraicapplicationclassifieddatadetermine
read the original abstract
Techniques are introduced which determine the geometric structure of non-simple two-generator $3$-manifolds from purely algebraic data. As an application, the satellite knots in the $3$-sphere with a two-generator presentation in which at least one generator is represented by a meridian for the knot are classified.
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