On two-generator satellite knots

Details On two-generator satellite knots On two-generator satellite knots

1997-03-14

arxiv.org/abs/math/9703206v1

Mathematics

Geometric Topology

Scientific paper

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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