The classification of exceptional Dehn surgeries on 2-bridge knots

By Mark Brittenham, Ying‐Qing Wu. 2000

67 citations recorded by the source corpus.

We will classify all exceptional Dehn surgeries on 2-bridge knots according to whether they produce reducible, toroidal, or small Seifert fibered manifolds.

Subfields: Genetics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1f41f51109803781141dffb9b8aa1ff8d578574c

How researchers see this paper

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In Genetics

1. John C. Dean
2. Robert F. Riley
3. Tomotada Ohtsuki
4. Makoto Sakuma

In Geometry and Topology

1. John C. Dean
2. Robert F. Riley
3. Tomotada Ohtsuki
4. Makoto Sakuma

In Mathematical Physics

1. John C. Dean
2. Robert F. Riley
3. Tomotada Ohtsuki
4. Makoto Sakuma

Citations in the corpus

• Epimorphisms between 2-bridge link groups (2009, methodology): “By the classification of exceptional surgeries on hyperbolic 2-bridge knots due to Brittenham-Wu [7] and by the orbifold theorem [2, 9], we can choose Ki so that every Mi is hyperbolic.”
• Small Seifert-fibered Dehn surgery on hyperbolic knots (2003, background): “In [6], it is proved that these are the only exceptional surgeries for (hyperbolic) twist knots.”